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Bulletin of State University of Education. Series: Physics and Mathematics

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ABOUT INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH OVERDETERMINATION IN FIXED POINTS

Abstract

In this paper the inverse problems for the parabolic equations for Cauchy problems and for the first and the second bounded problems are considered . Additional information for the direct problems (overdetermination) is given in the fixed points for any specific f time. The existence and uniqueness theorems for linear equations of parabolic type are formulated. For nonlinear equations of parabolic type the uniqueness theorems are formulated.

About the Author

V. . Soloviev
Национальный исследовательский ядерный университет «МИФИ» (Москва)
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. Соловьёв В.В. Определение источника и коэффициентов в параболическом уравнении в многомерном случае. // Дифференциальные уравнения, т.31, №6, 1995. С. 1060-1069.

3. Ладыженская О.А.,Солонников В.А.,Уральцева Н.Н. Линейные и квазилинейные уравнения параболического типа. М., Наука,1987.


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ISSN 2949-5083 (Print)
ISSN 2949-5067 (Online)