The boundary value problems of mathematical physics / O. A. Ladyzhenskaya
Type de document : Livre numériqueCollection : Applied mathematical sciences, 49Langue : anglais.Éditeur : Berlin : Springer, 1985ISBN: 9781441928245.ISSN: 0066-5452.Sujet MSC : 35J25, PDEs - Elliptic equations and elliptic systems, Boundary value problems for second-order elliptic equations35K20, PDEs - Parabolic equations and parabolic systems, Initial-boundary value problems for second-order parabolic equations
35L20, PDEs - Hyperbolic equations and hyperbolic systems, Initial-boundary value problems for second-order hyperbolic equations
46E35, Functional analysis - Linear function spaces and their duals, Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theoremsEn-ligne : Numir | Springerlink
The book contains 6 chapters, the first on functional analytic preliminaries and Sobolev spaces, three chapters on linear partial differential equations of second order of elliptic, parabolic and hyperbolic type resp., one on generalizations (higher order equations, systems) and the last on the finite difference method. Generalized solutions in the Sobolev sense are considered throughout, the leading pedagogical principle being "to prove, as simply as possible,..., the solvability of basic boundary value (and initial-boundary value) problems... as consequence of the uniqueness theorems in a "sufficiently large" function space." A beautiful book, indeed. (Zentralblatt)
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