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oapen-20.500.12657-252102023-02-01T09:35:38Z Multidimensional Inverse and Ill-Posed Problems for Differential Equations Anikonov, Yu. E. Mathematics bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBK Calculus & mathematical analysis::PBKJ Differential calculus & 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 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 interest to researchers in the field of applied mathematics, geophysics and mathematical biology. 2019-04-25 23:55 2020-03-21 03:00:30 2020-04-01T10:30:35Z 2020-04-01T10:30:35Z 2015-10-29 book 1004882 OCN: 1100525864 9783110346664 http://library.oapen.org/handle/20.500.12657/25210 eng application/pdf n/a 1004882.pdf De Gruyter 102377 2b386f62-fc18-4108-bcf1-ade3ed4cf2f3 b818ba9d-2dd9-4fd7-a364-7f305aef7ee9 9783110346664 Knowledge Unlatched (KU) 102377 KU Select 2018: STEM Backlist Books Knowledge Unlatched open access
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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 interest to researchers in the field of applied mathematics, geophysics and mathematical biology.
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