Download or read book Valeurs propres de problemes elliptiques indefinis sur des ouverts non bornes written by Ali Djellit and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Valeurs propres de probl mes elliptiques ind finis sur des ouverts non born s written by Ali Djellit and published by . This book was released on 1992 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON ETUDIE LES PROBLEMES AUX VALEURS PROPRES DE LA FORME: AU=G(X)U, DANS IR#N; U=0 SUR , OU EST UN OUVERT NON BORNE DE IR#N, A EST UN OPERATEUR ELLIPTIQUE AUTOADJOINT, NON NECESSAIREMENT POSITIF (PAR EXEMPLE A=+Q, AVEC UN POTENTIEL Q, NON NECESSAIREMENT POSITIF) ET G, LE POIDS, EST UNE FONCTION DEFINIE SUR ET QUI CHANGE DE SIGNE. DANS CE TRAVAIL, ON MONTRE L'EXISTENCE DE VALEURS PROPRES ET ON ETUDIE LEUR COMPORTEMENT ASYMPTOTIQUE. ICI A##1 N'EST PAS COMPACT ET L'EXISTENCE DE VALEURS PROPRES EST DUE AU COMPORTEMENT DU POIDS G A L'INFINI. DANS LE PREMIER CHAPITRE, A DESIGNE SOIT L'OPERATEUR DE LAPLACE , SOIT L'OPERATEUR DE SCHRODINGER A=+Q. POUR MONTRER L'EXISTENCE DES VALEURS PROPRES, ON INTRODUIT LES ESPACES DE SOBOLEV A POIDS ET ON CONSIDERE DEUX CAS SELON LA DIMENSION DE N (N>2 ET N=2). DES HYPOTHESES DE DECROISSANCE DU POIDS A L'INFINI ENTRAINENT L'EXISTENCE D'UNE DOUBLE INFINITE DE VALEURS PROPRES (UNE POSITIVE ET UNE NEGATIVE). POUR ESTIMER LE COMPORTEMENT ASYMPTOTIQUE, QUAND TEND VERS L'INFINI, DES FONCTIONS DE COMPTAGE N#(,+Q,G,) (NOMBRE DE VALEURS PROPRES POSITIVES INFERIEURES A ET NOMBRE DE VALEURS PROPRES NEGATIVES SUPERIEURES A ), ON UTILISE LA METHODE DE R. COURANT; CETTE METHODE, QUI EST BASEE SUR LE PRINCIPE DU MAXMIN, CONSISTE A DECOUPER L'ESPACE EN PETITS CUBES ET A ETUDIER SUR CHAQUE CUBE UN PROBLEME INDUIT PAR LE PROBLEME. SELON LE COMPORTEMENT DU POTENTIEL A L'INFINI, ON ETABLIT LA FORMULE CLASSIQUE DE WEYL OU CELLE DE DE WET-MANDEL. ON ETEND ENSUITE CES RESULTATS A DES OPERATEURS ELLIPTIQUES D'ORDRE 2M DANS LE SECOND CHAPITRE. DANS LA DERNIERE PARTIE, L'OPERATEUR A EST DU TYPE SCHRODINGER, PRECISEMENT A=+Q, OU LE POTENTIEL Q, NON NECESSAIREMENT POSITIF, EST SUPPOSE BORNE INFERIEUREMENT. ON UTILISE DES RESULTATS DE FLECKINGER-MINGARELLI SUR LA THEORIE SPECTRALE DE TELS PROBLEMES, SOUVENT APPELES COMPLETEMENT INDEFINIS. ON CONSIDERE UN PROBLEME A DEUX PARAMETRES POUR MONTRER L'EXISTENCE D'UNE INFINITE DENOMBRABLE DE VALEURS PROPRES POSITIVES. POUR OBTENIR DES RENSEIGNEMENTS SUR N#+(,+Q,G,), ON COMPARE A DES PROBLEMES INDEFINIS A DROITE, ET DEFINIS A GAUCHE, ET ON UTILISE LES RESULTATS DE FLECKINGER-LAPIDUS POUR LES PROBLEMES INDEFINIS A DROITE

Download or read book COMPORTEMENTS ASYMPTOTIQUES DES VALEURS PROPRES DE PROBLEMES INDEFINIS written by MOHAMMED.. EL FETNASSI and published by . This book was released on 1985 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON ETUDIE LE COMPORTEMENT ASYMPTOTIQUE DES VALEURS PROPRES DE PROBLEMES ELLIPTIQUES "INDEFINIS A DROITE", C'EST A DIRE DES PROBLEMES DE LA FORME: AU= LAMBDA G U DANS OMEGA , OUVERT NON BORNE DE R**(N), AVEC LES CONDITIONS AUX LIMITES DE DIRICHLET HOMOGENES, QUAND G CHANGE DE SIGNE ET A EST UN OPERATEUR ELLIPTIQUE AUTO-ADJOINT D'ORDRE 2M,DANS DEUX CAS: A) A EST UN OPERATEUR A COEFFICIENTS NON BORNES A L'INFINI; B) A EST UN OPERATEUR DE TYPE SCHROEDINGER

Download or read book Reaction Diffusion Systems written by Gabriela Caristi and published by CRC Press. This book was released on 2020-10-07 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the proceedings of the International Conference on Reaction Diffusion Systems held recently at the University of Trieste, Italy. Presents new research papers and state-of-the-art surveys on the theory of elliptic, parabolic, and hyperbolic problems, and their related applications. Furnishes incisive contribution by over 40 mathematicians representing renowned institutions in North and South America, Europe, and the Middle East."

Download or read book Valeurs propres et vecteurs propres de problemes elliptiques non autoadjoints avec un poids indefini pour des systemes d equations aux derivees partielles written by Mamadou Sango and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Valeurs propres et vecteurs propres de probl mes elliptiques non autoadjoints avec un poids ind fini pour des syst mes d quations aux d riv es partielles written by Mamadou Sango and published by . This book was released on 1998 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: DANS CE MEMOIRE, NOUS INITIONS L'ETUDE DE PROBLEMES SPECTRAUX NON-AUTOADJOINTS AVEC UN POIDS INDEFINI POUR DES SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES. LA NATURE DU POIDS (UNE FONCTION MATRICIELLE DISCONTINUE SUR DES VARIETES A L'INTERIEUR DU DOMAINE) QUE NOUS CONSIDERONS GENERE UN PROBLEME DE TRANSMISSION ELLIPTIQUE AVEC UN PARAMETRE QUI JOUE UN ROLE PREPONDERANT DANS CE TRAVAIL. NOS RESULTATS PRINCIPAUX SONT ORGANISES COMME SUIT : AU CHAPITRE 3, NOUS ETABLISSONS LA COMPLETUDE ET LA SOMMABILITE PAR LA METHODE D'ABEL-LIDSKII DES VECTEURS PROPRES GENERALISES D'UN PROBLEME ELLIPTIQUE POUR SYSTEMES D'EQUATIONS DU MEME ORDRE ET LA DISTRIBUTION ANGULAIRE DES VALEURS PROPRES. UNE GRANDE PARTIE DE CE CHAPITRE PORTE SUR L'ETABLISSEMENT D'UN THEOREME D'ISOMORPHISME POUR LE PROBLEME DE TRANSMISSION AVEC UN PARAMETRE ASSOCIE. ICI NOUS NOUS LIMITONS AU CADRE HILBERTIEN. AU CHAPITRE 4, NOUS ETABLISSONS UN THEOREME D'ISOMORPHISME POUR UN PROBLEME DE TRANSMISSION ELLIPTIQUE DE TYPE AGMON-DOUGLIS-NIRENBERG DEPENDANT POLYNOMIALEMENT D'UN PARAMETRE, DANS DES ESPACES DE TYPE L#P. POUR LA DERIVATION DE NOS RESULTATS NOUS FAISONS RECOURS A LA PUISSANTE TECHNIQUE DES MULTIPLICATEURS DE MICHLIN. AU CHAPITRE 5, NOUS DERIVONS DES FORMULES GROSSIERE ET PRECISE POUR LA DISTRIBUTION ASYMPTOTIQUE DES VALEURS PROPRES POUR LA CLASSE DE PROBLEMES CONSIDERES AU CHAPITRE 3. AU CHAPITRE 6, NOUS ETABLISSONS LA COMPLETUDE DES VECTEURS PROPRES GENERALISES POUR DES PROBLEMES AUX LIMITES ELLIPTIQUES DE TYPE AGMON-DOUGLIS-NIRENBERG AVEC UN POIDS INDEFINI DANS DES ESPACES DE TYPE L#P SOUS DES CONDITIONS TRES GENERALES. AU CHAPITRE 7, NOUS PROUVONS L'EQUIVALENCE DE DEUX FORMULATIONS DE LA CONDITION D'ELLIPTICITE POUR LES PROBLEMES DE TRANSMISSION AVEC UN PARAMETRE DE TYPE AGMON-DOUGLIS-NIRENBERG.

Download or read book Comportement asymptotique des valeurs propres de probl mes elliptiques irr guliers written by Jacqueline Fleckinger and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce travail est consacré à l'étude du comportement asymptotique de valeurs propres (ou de valeurs singulières) de problèmes elliptiques irréguliers. L'irrégularité est due au bord de l'ouvert (ouvert irrégulier ou ouvert non borné à bord non compact) ou aux coefficients de l'opérateur (opérateur à coefficients non bornés)...

Download or read book PROBLEMES ELLIPTIQUES NON LINEAIRES SINGULIERS AU BORD DANS DES DOMAINES NON REGULIERS written by JEAN.. FABBRI and published by . This book was released on 1994 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: CE TRAVAIL A POUR OBJET LA SPECIFICITE DES POINTS NON REGULIERS DU BORD DES DOMAINES EN TANT QU'ILS AUTORISENT OU NON, SELON DES CONDITIONS QUI SONT EXPLICITEES, LE PROLONGEMENT, EN CES POINTS, DE SOLUTIONS D'EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES NON LINEAIRES. UNE CLASSIFICATION DES SOLUTIONS SINGULIERES EST AUSSI DETAILLEE. LES POINTS NON REGULIERS DU BORD SONT DU TYPE: POINTS CONIQUES (DROITS OU ASYMPTOTIQUES), SOMMETS OU ARETES DE POLYEDRES, POINTS DE REBROUSSEMENT. LES METHODES UTILISEES DANS CE TRAVAIL SONT VARIEES: DECOMPOSITION DE L'OPERATEUR LAPLACIEN, ESTIMATIONS A PRIORI, PROPRIETES FAIBLES DE REGULARITE DANS DES DOMAINES GENERAUX, PRINCIPE DU MAXIMUM, PROBLEMES DE VALEURS PROPRES NON LINEAIRES. DANS LE CAS DES POLYEDRES, IL EST MIS EN UVRE UNE METHODE NOUVELLE QUI REPOSE SUR LA THEORIE DES SEMI-GROUPES ET LES PUISSANCES FRACTIONNAIRES D'UN OPERATEUR. CE TRAVAIL CONTIENT DES AMELIORATIONS DE RESULTATS ANTERIEURS DUS A GMIRA-VERON ET KONDRAT'EV-NIKISHKIN

Download or read book Stochastics Algebra and Analysis in Classical and Quantum Dynamics written by Sergio Albeverio and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, "'f si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aile':' human race. It has put common sense back Jules Verne where it belongs, 011 the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . . . '; 'One service logic has rendered com puter science . . . '; 'One service category theory has rendered mathematics . . . '. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series_ This series, Mathematics and Its Applications, started in 1977. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope. At the time I wrote ''Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches.

Download or read book Economic Fallacies written by Frederic Bastiat and published by Simon Publications. This book was released on 2001-08-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by the celebrated nineteenth century French economist propagating free trade, reads as it was written yesterday.

Download or read book On the Cauchy Problem written by Sigeru Mizohata and published by Academic Press. This book was released on 2014-05-10 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes and Reports in Mathematics in Science and Engineering, Volume 3: On the Cauchy Problem focuses on the processes, methodologies, and mathematical approaches to Cauchy problems. The publication first elaborates on evolution equations, Lax-Mizohata theorem, and Cauchy problems in Gevrey class. Discussions focus on fundamental proposition, proof of theorem 4, Gevrey property in t of solutions, basic facts on pseudo-differential, and proof of theorem 3. The book then takes a look at micro-local analysis in Gevrey class, including proof and consequences of theorem 1. The manuscript examines Schrödinger type equations, as well as general view-points on evolution equations. Numerical representations and analyses are provided in the explanation of these type of equations. The book is a valuable reference for mathematicians and researchers interested in the Cauchy problem.

Download or read book The Number System written by H. A. Thurston and published by Courier Corporation. This book was released on 2012-10-23 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.

Download or read book Recursive Functions written by Rózsa Péter and published by . This book was released on 1967 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of Continuum Mechanics written by Jean Salencon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outstanding approach to continuum mechanics. Its high mathematical level of teaching together with abstracts, summaries, boxes of essential formulae and numerous exercises with solutions, makes this handbook one of most complete books in the area. Students, lecturers, and practitioners will find this handbook a rich source for their studies or daily work.

Download or read book Applications of the Theory of Plasticity in Soil Mechanics written by Jean Salençon and published by John Wiley & Sons. This book was released on 1977 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Icons Texts Iconotexts written by Peter Wagner and published by Walter de Gruyter. This book was released on 2012-10-25 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Limits for the Characteristic Roots of a Matrix written by Alfred Theodore Brauer and published by . This book was released on 1958 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recently published book of E. Bodewig, Matrix Calculus some results of the earlier parts of this paper are mentioned. It is stated there that they are of theoretical interest, but have no practical value. In this paper it will be shown that they can easily be used for practical computations.