000 03132cam a2200421 i 4500
001 200467281
003 TR-AnTOB
005 20260206180921.0
007 ta
008 130128s1985 xxu| s |||| 0|eng d
020 _a9781475743173
020 _a0387909893
020 _a3540909893
040 _aTR-AnTOB
_beng
_erda
_cTR-AnTOB
041 0 _aeng
050 1 4 _aQC20
_b.L39313 1985
090 _aQC20
_b.L39313 1985
100 1 _aLadyzhenskai︠a︡, O. A.
_q(Olʹga Aleksandrovna)
_eauthor
_9152358
240 1 0 _aCraevie zadachi matematicheskoi phiziki.
_lEnglish.
245 1 4 _aThe boundary value problems of mathematical physics /
_cby O. A. Ladyzhenskaya ; translated by Jack Lohwater.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c1985.
300 _aXXX, 322 pages ;
_c23 cm
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v49
505 0 _aI Preliminary Considerations -- II Equations of Elliptic Type -- III Equations of Parabolic Type -- IV Equations of Hyperbolic Type -- V Some Generalizations -- VI The Method of Finite Differences.
520 _aIn 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.
650 1 0 _aPhysics
_9437
650 1 0 _aBoundary value problems
_91009
650 1 0 _aMathematical physics
_91369
700 1 _aLohwater, Jack
_etranslator
_9152359
710 2 _aSpringerLink (Online service)
_959873
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441928245
942 _2lcc
_cBK
999 _c200467281
_d85493