000 03895nam a22006375i 4500
001 9783110271478
003 DE-B1597
005 20200803184523.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 190708s2014 gw fo d z eng d
020 _a9783110271478
024 7 _a10.1515/9783110271478
_2doi
035 _a(DE-B1597)174070
035 _a(OCoLC)1013954638
035 _a(OCoLC)900809104
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _agw
_cDE
072 7 _aMAT000000
_2bisacsh
082 0 4 _81p
_a510
_qDE-101
100 1 _aAnikonov, Yu. E.,
_eauthor.
245 1 0 _aMultidimensional Inverse and Ill-Posed Problems for Differential Equations /
_cYu. E. Anikonov.
250 _aReprint 2014
264 1 _aBerlin ;
_aBoston :
_bDe Gruyter,
_c[2014]
264 4 _c©1995
300 _a1 online resource (139 p.)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aInverse and Ill-Posed Problems Series ;
_v4
505 0 0 _tFrontmatter --
_tCONTENTS --
_tINTRODUCTION --
_tCHAPTER 1. Operator Equations and Inverse Problems --
_tCHAPTER 2. Inverse Problems for Kinetic Equations --
_tCHAPTER 3. Geometry of Convex Surfaces in the Large and Inverse Problems of Scattering Theory --
_tCHAPTER 4. Integral Geometry --
_tReferences
506 0 _aOpen Access
_uhttps://purl.org/coar/access_right/c_abf2
_funrestricted online access
_2star
520 _aInverse problems are usually nonlinear and are separated into one-dimensional and multidimensional problems, depending on whether the sought function (or functions) is a function of one variable or of many. Multidimensionality of inverse problems has particular value at present, because practice shows that many investigating processes are described by an equation, of which the co-efficient essentially depends on many variables. This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interet to researchers in the field of applied mathematics, geophysics and mathematical biology.
538 _aMode of access: Internet via World Wide Web.
540 _aThis eBook is made available Open Access under a CC BY-NC-ND 4.0 license:
_uhttps://creativecommons.org/licenses/by-nc-nd/4.0
_uhttps://www.degruyter.com/dg/page/open-access-policy
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)
650 0 _aDifferential equations, Partial
_xImproperly posed problems.
650 0 _aInverse problems (Differential equations).
650 4 _aDifferential Equations.
650 4 _aDifferentialgleichung.
650 4 _aIll-Posed Problems.
650 4 _aInkorrekt gestellte Probleme.
650 4 _aInverse Probleme.
650 4 _aInverse Problems.
650 7 _aMATHEMATICS / General.
_2bisacsh
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Mathematics 1990 - 1999
_z9783110637199
_oZDB-23-GMA
776 0 _cprint
_z9783110346664
856 4 0 _uhttps://doi.org/10.1515/9783110271478
_zOpen Access
856 4 2 _3Cover
_uhttps://www.degruyter.com/cover/covers/9783110271478.jpg
912 _aGBV-deGruyter-alles
912 _aZDB-23-GMA
_c1990
_d1999
912 _aZDB-23-GOA
999 _c534952
_d534950