Multidimensional Inverse and Ill-Posed Problems for Differential Equations

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...

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Κύριος συγγραφέας: Anikonov, Yu. E.
Μορφή: Online
Γλώσσα:Αγγλικά
Έκδοση: De Gruyter 2021
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Διαθέσιμο Online:33739
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author Anikonov, Yu. E.
author_browse Anikonov, Yu. E.
author_facet Anikonov, Yu. E.
author_sort Anikonov, Yu. E.
collection Directory of Open Access Books
description 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.
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language eng
publishDate 2021
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spelling doab-20.500.12854ir-540572023-12-20T18:40:33Z Multidimensional Inverse and Ill-Posed Problems for Differential Equations Anikonov, Yu. E. QA1-939 Inverse Problems Differential Equations Ill-Posed Problems bic Book Industry Communication::P Mathematics & science 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. 2021-02-11T20:18:48Z 2021-02-11T20:18:48Z 2019-06-27 13:08:38 1995 book 33739 13814524 9783110271478 https://directory.doabooks.org/handle/20.500.12854/54057 eng Inverse and Ill-Posed Problems Series image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://doi.org/10.1515/9783110271478 De Gruyter 10.1515/9783110271478 10.1515/9783110271478 af2fbfcc-ee87-43d8-a035-afb9d7eef6a5 9783110271478 139 open access
spellingShingle QA1-939
Inverse Problems
Differential Equations
Ill-Posed Problems
bic Book Industry Communication::P Mathematics & science
Anikonov, Yu. E.
Multidimensional Inverse and Ill-Posed Problems for Differential Equations
title Multidimensional Inverse and Ill-Posed Problems for Differential Equations
title_full Multidimensional Inverse and Ill-Posed Problems for Differential Equations
title_fullStr Multidimensional Inverse and Ill-Posed Problems for Differential Equations
title_full_unstemmed Multidimensional Inverse and Ill-Posed Problems for Differential Equations
title_short Multidimensional Inverse and Ill-Posed Problems for Differential Equations
title_sort multidimensional inverse and ill posed problems for differential equations
topic QA1-939
Inverse Problems
Differential Equations
Ill-Posed Problems
bic Book Industry Communication::P Mathematics & science
topic_facet QA1-939
Inverse Problems
Differential Equations
Ill-Posed Problems
bic Book Industry Communication::P Mathematics & science
url 33739
work_keys_str_mv AT anikonovyue multidimensionalinverseandillposedproblemsfordifferentialequations