DESIDABILITY OF INVERSE PROBLEMS FOR PARABOLIC EQUATION
Abstract
In this paper the inverse problems for the parabolic equation in the bounded
domain are considered for case of the first bounded problem. Additional information for
the direct problems (overdetermination) is given in the fixed moment of time. The existence
and uniqueness theorems are formulated. The examples for inverse problems are
detailed.
domain are considered for case of the first bounded problem. Additional information for
the direct problems (overdetermination) is given in the fixed moment of time. The existence
and uniqueness theorems are formulated. The examples for inverse problems are
detailed.
About the Author
В. Соловьёв
Национальный исследовательский ядерный университет «МИФИ»
Russian Federation
Russian Federation
References
1. Prilepko, A.I.,Orlovsky D.G.,Vasin I.A. Methods for solving inverse problems in mathematical physics. New York-Basel: Marcel Dekker Inc.,2000.
2. Прилепко, А.И.,Соловьёв В.В. О разрешимости обратных краевых задач определе- ния коэффициента перед младшей производной в параболическом уравнении. // Дифференциальные уравнения, т.23, №1, 1987. С. 136-143.
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