The inverse problem for the heat equation with reflection of the argument and with a complex coefficient
Mussirepova E. Sarsenbi A. Sarsenbi A.
December 2022Springer Science and Business Media Deutschland GmbH
Boundary Value Problems
2022#2022Issue 1
The paper is devoted to finding a solution and restoring the right-hand side of the heat equation with reflection of the argument in the second derivative, with a complex-valued variable coefficient. We prove a theorem on the Riesz basis property for eigenfunctions of the second-order differential operator with involution in the second derivative. We establish the existence and uniqueness of the solution of the studied problems by the method of separation of variables.
Boundary value problem , Eigenfunctions , Heat equation with involution , Inverse problem , Nonlocal heat equation , Reflection of the argument , Riesz basis
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Scientific Center for Theoretical and Applied Mathematics and Department of Mathematics, M. Auezov South Kazakhstan University, Tauke Khan, 5, Shymkent, 160012, Kazakhstan
Scientific Center for Theoretical and Applied Mathematics and Department of Mathematics
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