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Author : Olga Alexandrovna Ladyzhenskaya
Publisher : American Mathematical Soc.
Page : 186 pages
File Size : 43,6 Mb
Release : 1977
Category : Boundary value problems
ISBN : 0821830279
Author : Ivar Stakgold
Publisher : SIAM
Page : 1156 pages
File Size : 51,6 Mb
Release : 2000-06-30
Category : Science
ISBN : 9780898714562
For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Now a part of SIAM's Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory?subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.
Author : Olga Aleksandrovna Ladyzhenskaëiìa
Publisher : Unknown
Page : 213 pages
File Size : 47,5 Mb
Release : 1981
Category : Electronic
ISBN : OCLC:805698915
Author : Dmitriĭ Evgenʹevich Menʹshov,Sergeĭ Viktorovich Bočkarev
Publisher : Unknown
Page : 224 pages
File Size : 44,5 Mb
Release : 1980
Category : Algebra
ISBN : 0821830023
Author : O.A. Ladyzhenskaya
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 44,7 Mb
Release : 2013-03-14
Category : Science
ISBN : 9781475743173
In the present edition I have included "Supplements and Problems" located at the end of each chapter. This was done with the aim of illustrating the possibilities of the methods contained in the book, as well as with the desire to make good on what I have attempted to do over the course of many years for my students-to awaken their creativity, providing topics for independent work. The source of my own initial research was the famous two-volume book Methods of Mathematical Physics by D. Hilbert and R. Courant, and a series of original articles and surveys on partial differential equations and their applications to problems in theoretical mechanics and physics. The works of K. o. Friedrichs, which were in keeping with my own perception of the subject, had an especially strong influence on me. I was guided by the desire to prove, as simply as possible, that, like systems of n linear algebraic equations in n unknowns, the solvability of basic boundary value (and initial-boundary value) problems for partial differential equations is a consequence of the uniqueness theorems in a "sufficiently large" function space. This desire was successfully realized thanks to the introduction of various classes of general solutions and to an elaboration of the methods of proof for the corresponding uniqueness theorems. This was accomplished on the basis of comparatively simple integral inequalities for arbitrary functions and of a priori estimates of the solutions of the problems without enlisting any special representations of those solutions.
Author : Hans Sagan
Publisher : Courier Corporation
Page : 399 pages
File Size : 49,9 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486150925
Well-known text uses a few basic concepts to solve such problems as the vibrating string, vibrating membrane, and heat conduction. Problems and solutions. 31 illustrations.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 1983
Category : Electronic
ISBN : 9995780305
Author : Rolf Leis
Publisher : Courier Corporation
Page : 272 pages
File Size : 55,5 Mb
Release : 2013-07-17
Category : Mathematics
ISBN : 9780486315829
Introduction to classical scattering theory and time-dependent theory of linear equations in mathematical physics. Topics include wave operators, exterior boundary value problems, radiation conditions, limiting absorption principles, and more. 1986 edition.
Author : Rolf Leis
Publisher : Unknown
Page : 274 pages
File Size : 41,6 Mb
Release : 1986
Category : Electronic
ISBN : 0598049045
Author : Olʹga A. Ladyženskaja
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 46,7 Mb
Release : 1972
Category : Boundary value problems
ISBN : 0821830104
Author : Olʹga A. Ladyženskaja
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 52,6 Mb
Release : 1981
Category : Boundary value problems
ISBN : 0821830686
Author : O. A. Ladyzhenskaya
Publisher : American Mathematical Soc.
Page : 282 pages
File Size : 49,5 Mb
Release : 1989
Category : Boundary value problems
ISBN : 0821831275
Author : Olga Aleksandrovna Ladyzhenskaëiìa
Publisher : Unknown
Page : 226 pages
File Size : 49,9 Mb
Release : 1984
Category : Electronic
ISBN : OCLC:805698927
Author : Olga Alexandrovna Ladyzhenskaya
Publisher : American Mathematical Soc.
Page : 228 pages
File Size : 44,7 Mb
Release : 1975
Category : Boundary value problems
ISBN : 0821830252
Author : Valeri Agoshkov
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461219941
In the modern theory of boundary value problems the following ap proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data of the problems are analyzed. These stages are put on the basis of the correct statement of different problems of mathematical physics (or of the definition of ill-posed problems). For example, if the solvability of a prob lem in the functional spaces chosen cannot be established then, probably, the reason is in their unsatisfactory choice. Then the analysis should be repeated employing other functional spaces. Elliptical problems can serve as an example of classical problems which are analyzed by this approach. Their investigations brought a number of new notions and results in the theory of Sobolev spaces W;(D) which, in turn, enabled us to create a sufficiently complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensive area of modern mathematical physics. It has various applications in astrophysics, the theory of nuclear reactors, geophysics, the theory of chemical processes, semiconductor theory, fluid mechanics, etc. [25,29,31,39,40, 47, 52, 78, 83, 94, 98, 120, 124, 125, 135, 146].