zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater. (English) Zbl 0588.35003
Applied Mathematical Sciences, 49. New York etc.: Springer-Verlag. XXX, 322 p. DM 198.00 (1985).
This English translation differs from the Russian original (1973; Zbl 0284.35001) by the inclusion of a ”Supplements and Problems” section located at the end of each chapter, which illustrate the possibilites of the methods contained in the book, and are to awake the student’s creativity, providing topics for independent work, as the author writes in the preface. These added sections contain about 40 pp. and make the book even more valuable. 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.
Reviewer: J.Lorenz

35-02Research monographs (partial differential equations)
35J25Second order elliptic equations, boundary value problems
35K20Second order parabolic equations, initial boundary value problems
35L20Second order hyperbolic equations, boundary value problems
46E35Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems