Download or read book Espaces fonctionnels Utilisation dans la r solution des quations aux d riv es partielles written by Gilbert Demengel and published by EDP Sciences. This book was released on 2012-12-03T00:00:00+01:00 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage présente et explicite des notions de base relatives à la résolution des équations aux dérivées partielles elliptiques et à l'étude de la régularité de leurs solutions. Après une étude détaillée des espaces de Sobolev (premières propriétés, théorèmes d'injection, théorèmes d'injection compacte, aussi bien pour les Sobolev dits d'exposants entiers que pour les Sobolev d'exposants fractionnaires), ce livre aborde les méthodes variationnelles permettant, par l'utilisation de la convexité, d'obtenir des solutions pour certaines équations aux dérivées partielles, linéaires et quasilinéaires. Les auteurs développent aussi une étude qualitative des équations aux dérivées partielles modèles (régularité, principe du maximum strict) et présentent des problèmes issus de la théorie des surfaces minimales et de celle de la plasticité tridimensionnelle, qui demandent l'introduction et l'étude d'espaces de fonctions à dérivée mesure, espaces qui sont très proches des espaces de Sobolev classiques. De nombreux exercices sont proposés avec, pour la plupart, des indications pour leur solution.

Download or read book Generalized Principal Eigenvalue in Unbounded Domains and Its Applications to Nonlinear Elliptic and Parabolic Problems written by Luca Rossi and published by . This book was released on 2006 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cette thèse traite différents sujets de la théorie des équations aux dérivées partielles elliptiques et paraboliques. La partie centrale est dédiée à l'étude de la validité de théorèmes de type Liouville pour opérateurs elliptiques linéaires, semi linéaires et complètement non linéaires. Avec "théorèmes de type Liouville" on entend l'unicité (multiplication par une constante près dans le cas des équations linéaires) des solutions bornées (parfois positives) d'une équation elliptique dans un domaine non borné, en analogie avec le théorème classique pour fonctions harmoniques. Nous avons montré que le théorème de type Liouville est valable pour les opérateurs linéaires à coefficients périodiques dans tout l'espace et il n'est plus valable en générale si les coefficients sont seulement presque périodiques.Pour démontrer des théorèmes de Liouville pour des équations semi linéaires on a du introduire des notions qui généralisent celle de la valeur propre principale. Les définitions et l'étude des propriétés de ces valeurs propres principales généralisées font l'objet de la première partie de la thèse, qui est la plus abstraite. La partie regardante les équations elliptiques est conclue par des résultats d'unicité de solutions de viscosité non négatives pour une classe d'équations complètement non linéaires. Le dernier sujet traité dans la thèse est celui des équations de réaction diffusion et, en particulier, de l'étude du comportement des solutions à long terme. L'un des résultats présentés regarde des équations avec vitesse forcée, qui interviennent dans plusieurs modèles de mathématiques appliquées, notamment en écologie.

Download or read book CONSTRUCTION DE SOLUTIONS SINGULIERES POUR CERTAINES EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES SEMI LINEAIRES written by YOMNA.. REBAI and published by . This book was released on 1997 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: LES TRAVAUX PRESENTES DANS CETTE THESE PORTENT SUR LA CONSTRUCTION DE SOLUTIONS AYANT UN LIEU SINGULIER PRESCRIT POUR CERTAINES EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES SEMI-LINEAIRES. LA METHODE QU'ON UTILISE CONSISTE A DEFINIR UNE FAMILLE DE SOLUTIONS APPROCHEES AU PROBLEME A PARTIR DE SOLUTIONS PARTICULIERES RADIALES, PUIS A ETUDIER LE LINEARISE DE L'OPERATEUR CONSIDERE EN CES SOLUTIONS APPROCHEES DANS DES ESPACES FONCTIONNELS BIEN CHOISIS EN L'OCCURENCE LES ESPACES DE HOLDER A POIDS. ENFIN, LA CONCLUSION EST OBTENUE EN UTILISANT LE THEOREME DES FONCTIONS IMPLICITES OU LE THEOREME DU POINT FIXE. DANS LE PREMIER ARTICLE, ON CONSTRUIT UNE SOLUTION DU PROBLEME AVEC NON-LINEARITE SOUS-CRITIQUE DE LIEU SINGULIER EGAL A UNE SOUS-VARIETE COMPACTE SANS BORD. DANS LE DEUXIEME ARTICLE, ON S'INTERESSE AU CAS SUR-CRITIQUE ET ON MONTRE L'EXISTENCE DE SOLUTION FAIBLE POSITIVE DU PROBLEME CONSIDERE DANS LA BOULE UNITE, AYANT UNE SINGULARITE NON ELIMINABLE EN UN POINT FIXE PROCHE DE L'ORIGINE. ON DONNE EN PARTICULIER UNE DEMONSTRATION A UN RESULTAT CONCERNANT L'EQUATION D'EMDEN ENONCE PAR H. MATANO. DANS LE TROISIEME ARTICLE, ON GENERALISE LE RESULTAT PRECEDENT AU CAS D'UN NOMBRE FINI DE SINGULARITES ISOLEES, PLUS PRECISEMENT, ON MONTRE L'EXISTENCE D'UN OUVERT REGULIER CONNEXE CONTENANT UN NOMBRE FINI DE POINTS FIXES ET L'EXISTENCE D'UNE SOLUTION FAIBLE POSITIVE DU PROBLEME QUI EST SINGULIERE EN CHACUN DE CES POINTS. LE QUATRIEME ARTICLE DE LA THESE EST CONSACRE A L'ETUDE DU PROBLEME DE YAMABE SINGULIER. ON Y MONTRE UN RESULTAT DE NON EXISTENCE DE SOLUTION DU PROBLEME DEFINI SUR UN OUVERT ETOILE PAR RAPPORT A UN POINT QUI A UNE SINGULARITE NON EMILINABLE EN CE POINT. ON Y ETEND AUSSI LES RESULTATS DE R. MAZZEO ET F. PACARD AU CAS DU PROBLEME DE YAMABE DEFINI SUR UN OUVERT BORNE CONTENANT DEUX POINTS FIXES. ON DONNE UNE CONDITION SUFFISANTE PORTANT SUR CES DEUX POINTS POUR QU'IL EXISTE UNE SOLUTION FAIBLE POSITIVE DU PROBLEME QUI EST SINGULIERE EN CHACUN DE CES POINTS.

Download or read book Etude de la r solution des quations aux deriv es partielles en 3D sur des machines parall les written by Bernard Siaud and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Existence et compacit de solutions de certaines quations aux d riv es partielles elliptiques non lin aires written by Frank Pacard and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE APPORTE UNE CONTRIBUTION A L'ETUDE DE CERTAINES EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES NON-LINEAIRES. ELLE EST COMPOSEE DE DEUX PARTIES DISTINCTES. DANS UNE PREMIERE PARTIE, NOUS ETUDIONS LA CONVERGENCE DE SUITES DE SURFACES DONT LA COURBURE MOYENNE EST PRESCRITE. LA DEUXIEME PARTIE CONCERNE L'ETUDE D'EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES NON LINEAIRES SCALAIRES. DANS UN PREMIER TEMPS NOUS OBTENONS DES RESULTATS D'EXISTENCE DE SOLUTIONS DEFINIES SUR DES ANNEAUX, PUIS UN RESULTAT D'EXISTENCE DE SOLUTIONS DONT LES SINGULARITES PONCTUELLES SONT FIXEES ET ENFIN UN RESULTAT RELATIF A LA REGULARITE DE SOLUTIONS FAIBLES DE CERTAINES DE CES EQUATIONS

Download or read book Dictionary of Building and Civil Engineering written by Don Montague and published by Taylor & Francis. This book was released on 1996 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dual-language dictionary lists over 20,000 specialist terms in both French and English, covering architecture, building, engineering and property terms. It meets the needs of all building professionals working on projects overseas. It has been comprehensively researched and compiled to provide an invaluable reference source in an increasingly European marketplace.

Download or read book Coral Reef Ascidians of New Caledonia written by Claude Monniot and published by IRD Editions. This book was released on 1991 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Extraterrestrial Seismology written by Vincent C. H. Tong and published by Cambridge University Press. This book was released on 2015-06-25 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a transdisciplinary approach to seismology, this unique book reviews the most recent developments in planetary seismology, helioseismology, and asteroseismology.

Download or read book The English Verb written by F.R. Palmer and published by Routledge. This book was released on 2014-06-11 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A long established and highly regarded account of all aspects of the English verb taking account of recent work on tense, phase and aspect, and of the author's own research. Theoretical discussion is kept to a minimum, but the arguments are always presented within a modern theoretical framework.

Download or read book England Without and Within written by Richard Grant White and published by . This book was released on 1881 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Africa Since 1935 written by Unesco. International Scientific Committee for the Drafting of a General History of Africa and published by Univ of California Press. This book was released on 1999 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hardcover edition of volume 8 was published in 1994. This paperback edition is the eighth and final volume to be published in the UNESCO General History of Africa. Volume 8 examines the period from 1935 to the present, and details the role of African states in the Second World War and the rise of postwar Africa. This is one of the most important books in the entire series, and as such, it is an unabridged paperback.

Download or read book The Freshwater Crabs of America written by Gilberto Rodríguez and published by IRD Editions. This book was released on 1992 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trichodactylidae.

Download or read book Brownian Motion Martingales and Stochastic Calculus written by Jean-François Le Gall and published by Springer. This book was released on 2016-04-28 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a rigorous and self-contained presentation of stochastic integration and stochastic calculus within the general framework of continuous semimartingales. The main tools of stochastic calculus, including Itô’s formula, the optional stopping theorem and Girsanov’s theorem, are treated in detail alongside many illustrative examples. The book also contains an introduction to Markov processes, with applications to solutions of stochastic differential equations and to connections between Brownian motion and partial differential equations. The theory of local times of semimartingales is discussed in the last chapter. Since its invention by Itô, stochastic calculus has proven to be one of the most important techniques of modern probability theory, and has been used in the most recent theoretical advances as well as in applications to other fields such as mathematical finance. Brownian Motion, Martingales, and Stochastic Calculus provides a strong theoretical background to the reader interested in such developments. Beginning graduate or advanced undergraduate students will benefit from this detailed approach to an essential area of probability theory. The emphasis is on concise and efficient presentation, without any concession to mathematical rigor. The material has been taught by the author for several years in graduate courses at two of the most prestigious French universities. The fact that proofs are given with full details makes the book particularly suitable for self-study. The numerous exercises help the reader to get acquainted with the tools of stochastic calculus.

Download or read book What Nazism Did to Psychoanalysis written by Laurence Kahn and published by Taylor & Francis. This book was released on 2022-09-09 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: What Nazism Did to Psychoanalysis explores the impact Nazism had on the evolution of psychoanalysis and tackles the enigma of the transformation of individual hate into mass psychosis and of the autocratic creation of a neo-reality. Addressing the effects of the Holocaust on the psychoanalytic world, this book does not focus on the suffering of the survivors but the analysis of the concrete mechanisms of destruction that affected language and thought, their impact on the practice of psychoanalysis and the defences that psychoanalysts tried to find against the linguistic, legal and symbolic chaos that struck the foundations of reality. Laurence Kahn discusses the struggle against the appropriation, by the Nazi language, of key terms such as demonic nature, drives, ideals and, above all, the Selbsterhaltungstrieb (the self-preservation drive), which became, with Hitler, the axis of the living space policy, the "Lebensraum". Covering key topics such as trauma, transgenerational issues, silence and secrecy and the depredation of culture, this is an essential work for psychoanalysts and anyone wishing to understand how strongly the development of psychoanalysis was affected by Nazism.

Download or read book Story Telling Techniques in the Arabian Nights written by David Pinault and published by BRILL. This book was released on 2023-11-27 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work comprises a literary comparison of surviving alternative versions of selected narrative-cycles from the Nights. Pinault draws on the published Arabic editions — especially Bulaq, MacNaghten, and the fourteenth-century Galland text recently edited by Mahdi — as well as unpublished Arabic manuscripts from libraries in France and North Africa. The study demonstrates that significantly different versions have survived of some of the most famous tales from the Nights. Pinault notes how individual manuscript redactors employed — and sometimes modified — formulaic phrases and traditional narrative topoi in ways consonant with the themes emphasized in particular versions of a tale. He also examines the redactors' modification of earlier sources — Arabic chronicles and Islamic religious treatises, geographers' accounts and medieval legends — for specific narrative goals. Comparison of the narrative structure of diverse story-collection also sheds new light on the relationship of the embedded subordinate-narrative to the overarching frame-tale. All cited passages from the Nights and other Arabic story- collections have been fully translated into English.

Download or read book Transformational Processes in Clinical Psychoanalysis written by Lawrence J. Brown and published by Routledge. This book was released on 2018-10-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Lawrence J. Brown offers a contemporary perspective on how the mind transforms, and gives meaning to, emotional experience that arises unconsciously in the here-and-now of the clinical hour. Brown surveys the developments in theory and practice that follow from Freud’s original observations and traces this evolution from its conception to contemporary analytic field theory. Brown emphasizes that these unconscious transformational processes occur spontaneously, in the blink of an eye, through the "unconscious work" in which the analyst and patient are engaged. Though unconscious, these processes are accessible and the analyst must train himself to become aware of the subtle ways he is affected by the patient in the clinical moment. By paying attention to one’s reveries, countertransference manifestations and even supposed "wild" or extraneous thoughts, the analyst is able to obtain a glimpse of how his unconscious is transforming the ambient emotions of the session in order to formulate an interpretation. Brown casts a wide theoretical net in his exploration of these transformational processes and builds on the contributions of Freud, Theodor Reik, Bion, Ogden, the Barangers, Cassorla, Civitarese and Ferro. Bion’s theories of alpha function, transformations, dreaming and his clinical emphasis on the present moment are foundational to this book. Brown’s writing is clear and aims to describe the various theoretical ideas as plainly as possible. Detailed clinical material is given in most chapters to illustrate the theoretical perspectives. Brown applies this theory of transformational processes to a variety of topics, including the analyst’s receptivity, countertransference as transformation, the analytic setting, the paintings of J.M.W. Turner, "autistic transformations" and other clinical situations in the analysis of children and adults. Transformational Processes in Clinical Psychoanalysis will be of great interest to all psychoanalysts and psychoanalytic psychotherapists.

Download or read book Statistical Inference for Ergodic Diffusion Processes written by Yury A. Kutoyants and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book in inference for stochastic processes from a statistical, rather than a probabilistic, perspective. It provides a systematic exposition of theoretical results from over ten years of mathematical literature and presents, for the first time in book form, many new techniques and approaches.