Download or read book Non Homogeneous Boundary Value Problems and Applications written by Jacques Louis Lions and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space" on m" and the G/ s spaces" on am" ; j we seek u in a function space u/t "on m" satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v«])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as "working hypothesis" that, for fEF and gjEG , j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a "natural" way with problem (1), (2) and con j venient for applications, and also all possible choiees for u/t and {F; G} j in these families.

Download or read book Direct Methods in the Theory of Elliptic Equations written by Jindrich Necas and published by Springer Science & Business Media. This book was released on 2011-10-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nečas’ book Direct Methods in the Theory of Elliptic Equations, published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems. This English edition, translated by G. Tronel and A. Kufner, presents Nečas’ work essentially in the form it was published in 1967. It gives a timeless and in some sense definitive treatment of a number issues in variational methods for elliptic systems and higher order equations. The text is recommended to graduate students of partial differential equations, postdoctoral associates in Analysis, and scientists working with linear elliptic systems. In fact, any researcher using the theory of elliptic systems will benefit from having the book in his library. The volume gives a self-contained presentation of the elliptic theory based on the "direct method", also known as the variational method. Due to its universality and close connections to numerical approximations, the variational method has become one of the most important approaches to the elliptic theory. The method does not rely on the maximum principle or other special properties of the scalar second order elliptic equations, and it is ideally suited for handling systems of equations of arbitrary order. The prototypical examples of equations covered by the theory are, in addition to the standard Laplace equation, Lame’s system of linear elasticity and the biharmonic equation (both with variable coefficients, of course). General ellipticity conditions are discussed and most of the natural boundary condition is covered. The necessary foundations of the function space theory are explained along the way, in an arguably optimal manner. The standard boundary regularity requirement on the domains is the Lipschitz continuity of the boundary, which "when going beyond the scalar equations of second order" turns out to be a very natural class. These choices reflect the author's opinion that the Lame system and the biharmonic equations are just as important as the Laplace equation, and that the class of the domains with the Lipschitz continuous boundary (as opposed to smooth domains) is the most natural class of domains to consider in connection with these equations and their applications.

Download or read book Convegno internazionale sulle equazioni lineari alle derivate parziali promosso dalla Universit degli studi di Trieste Trieste 25 28 agosto 1954 written by Unione matematica italiana and published by . This book was released on 1955 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bollettino Della Unione Matematica Italiana written by and published by . This book was released on 1980 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bericht written by Jyväskylän yliopisto. Matematiikan laitos and published by . This book was released on 1976 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematica Scandinavica written by and published by . This book was released on 1967 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rendiconti del Seminario matematico della Universit di Padova written by Università di Padova. Seminario matematico and published by . This book was released on 1971 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by American Mathematical Society and published by American Mathematical Society(RI). This book was released on 1981 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bollettino della Unione matematica italiana written by Unione matematica italiana and published by . This book was released on 1970 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rendiconti written by and published by . This book was released on 1964 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rendiconti written by Istituto lombardo-accademia di scienze e lettere and published by . This book was released on 1969 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Revue Roumaine de Math matiques Pures Et Appliqu es written by and published by . This book was released on 1964 with total page 1108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annales scientifiques de l cole normale sup rieure written by École normale supérieure (France) and published by . This book was released on 1969 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Morphopragmatics written by Wolfgang U. Dressler and published by Walter de Gruyter. This book was released on 1994 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: TRENDS IN LINGUISTICS is a series of books that open new perspectives in our understanding of language. The series publishes state-of-the-art work on core areas of linguistics across theoretical frameworks, as well as studies that provide new insights by approaching language from an interdisciplinary perspective. TRENDS IN LINGUISTICS considers itself a forum for cutting-edge research based on solid empirical data on language in its various manifestations, including sign languages. It regards linguistic variation in its synchronic and diachronic dimensions as well as in its social contexts as important sources of insight for a better understanding of the design of linguistic systems and the ecology and evolution of language. TRENDS IN LINGUISTICS publishes monographs and outstanding dissertations as well as edited volumes, which provide the opportunity to address controversial topics from different empirical and theoretical viewpoints. High quality standards are ensured through anonymous reviewing. To discuss your book idea or submit a proposal, please contact Birgit Sievert.

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 From Etymology to Pragmatics written by Eve Sweetser and published by Cambridge University Press. This book was released on 1991-07-26 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a distinct approach to the analysis of the multiple meanings of English modals, conjunctions, conditionals and perception verbs. Although such ambiguities cannot easily be accounted for by feature-analyses of word meaning, Eve Sweetser's argument shows that they can be analysed both readily and systematically. Meaning relationships in general cannot be understood independently of human cognitive structure, including the metaphorical and cultural aspects of that structure. Sweetser shows that both lexical polysemy and pragmatic ambiguity are shaped by our metaphorical folk understanding of epistemic processes and of speech interaction. Similar regularities can be shown to structure the contrast between root, epistemic and 'speech-act' uses of modal verbs, multiple uses of conjunctions and conditionals, and certain processes of historical change observed in Indo-European languages. Since polysemy is typically the intermediate step in semantic change, the same regularities observable in polysemy can be extended to an analysis of semantic change. This book will attract students and researchers in linguistics, philosophy, the cognitive sciences, and all those interested in metaphor.

Download or read book Finite Elements in Geomechanics written by G. Gudehus and published by John Wiley & Sons. This book was released on 1977 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: