Ill Posed Problems Of Mathematical Physics And Analysis
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Ill posed Problems of Mathematical Physics and Analysis
Author | : Mikhail Mikhaĭlovich Lavrentʹev,Vladimir Gavrilovich Romanov,Sergeĭ Petrovich Shishatskiĭ |
Publsiher | : Providence, R.I. : American Mathematical Society |
Total Pages | : 304 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : UOM:39015014361623 |
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Ill posed Problems of Mathematical Physics and Analysis
Author | : Mikhail Mikha_lovich Lavrent_ev,Vladimir Gavrilovich Romanov,Serge_ Petrovich Shishatski_ |
Publsiher | : American Mathematical Soc. |
Total Pages | : 300 |
Release | : 1986-12-31 |
Genre | : Mathematics |
ISBN | : 0821898140 |
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Physical formulations leading to ill-posed problems Basic concepts of the theory of ill-posed problems Analytic continuation Boundary value problems for differential equations Volterra equations Integral geometry Multidimensional inverse problems for linear differential equations
Ill Posed Problems of Mathematical Physics and Analysis
Author | : Mikhail Mikhaĭlovich Lavrentʹev,Vladimir Gavrilovich Romanov,Sergeĭ Petrovich Shishatskiĭ |
Publsiher | : Unknown |
Total Pages | : 298 |
Release | : 1986 |
Genre | : Boundary value problems |
ISBN | : 147044478X |
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Ill Posed and Non Classical Problems of Mathematical Physics and Analysis
Author | : Mikhail M. Lavrent'ev,Sergey I. Kabanikhin,Akbar H. Begmatov,Tukhtamurad D. Dzhuraev,Saburou Saitoh,Masahiro Yamamoto |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 216 |
Release | : 2014-07-24 |
Genre | : Mathematics |
ISBN | : 9783110936520 |
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These proceedings of the international Conference "Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis", held at the Samarkand State University, Uzbekistan in September 2000 bring together fundamental research articles in the major areas of the numerated fields of analysis and mathematical physics. The book covers the following topics: theory of ill-posed problems inverse problems for differential equations boundary value problems for equations of mixed type integral geometry mathematical modelling and numerical methods in natural sciences
Ill posed Problems of Mathematical Physics and Analysis
Author | : Mikhail Mikhailovich Lavrent'ev |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 1986 |
Genre | : Electronic Book |
ISBN | : OCLC:859817726 |
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Ill posed and Non classical Problems of Mathematical Physics and Analysis
Author | : Mikhail M. Lavrent'ev,S. I. Kabanikhin,Akb. H. Begmatov |
Publsiher | : V.S.P. International Science |
Total Pages | : 205 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9067643807 |
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These proceedings of the international Conference "Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis", held at the Samarkand State University, Uzbekistan in September 2000 bring together fundamental research articles in the major areas of the numerated fields of analysis and mathematical physics. The book covers the following topics: theory of ill-posed problems inverse problems for differential equations boundary value problems for equations of mixed type integral geometry mathematical modelling and numerical methods in natural sciences
Methods for Solving Incorrectly Posed Problems
Author | : V.A. Morozov |
Publsiher | : Springer Science & Business Media |
Total Pages | : 275 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461252801 |
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Some problems of mathematical physics and analysis can be formulated as the problem of solving the equation f € F, (1) Au = f, where A: DA C U + F is an operator with a non-empty domain of definition D , in a metric space U, with range in a metric space F. The metrics A on U and F will be denoted by P and P ' respectively. Relative u F to the twin spaces U and F, J. Hadamard P-06] gave the following defini tion of correctness: the problem (1) is said to be well-posed (correct, properly posed) if the following conditions are satisfied: (1) The range of the value Q of the operator A coincides with A F ("sol vabi li ty" condition); (2) The equality AU = AU for any u ,u € DA implies the I 2 l 2 equality u = u ("uniqueness" condition); l 2 (3) The inverse operator A-I is continuous on F ("stability" condition). Any reasonable mathematical formulation of a physical problem requires that conditions (1)-(3) be satisfied. That is why Hadamard postulated that any "ill-posed" (improperly posed) problem, that is to say, one which does not satisfy conditions (1)-(3), is non-physical. Hadamard also gave the now classical example of an ill-posed problem, namely, the Cauchy problem for the Laplace equation.
Inverse Problems of Mathematical Physics
Author | : Mikhail M. Lavrent'ev,Alexander V. Avdeev,Viatcheslav I. Priimenko |
Publsiher | : Walter de Gruyter |
Total Pages | : 288 |
Release | : 2012-05-07 |
Genre | : Mathematics |
ISBN | : 9783110915525 |
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This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.