An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions

By N. B. Kerimov, Mansur I. Ismailov. 2012

70 citations recorded by the source corpus.

Abstract This paper investigates the inverse problem of finding a time-dependent coefficient in a heat equation with nonlocal boundary and integral overdetermination conditions. Under some regularity and consistency conditions on the input data, the existence, uniqueness and continuous dependence upon the data of the solution are shown by using the generalized Fourier method.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fa3c30c002fd18f1ee1413917d74ffb4b22f6f45

How researchers see this paper

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In Applied Mathematics

1. A. Gholami
2. Kurt Keutzer

In Computational Theory and Mathematics

1. A. Gholami
2. Kurt Keutzer
3. George Biros

Citations in the corpus

• ANODE: Unconditionally Accurate Memory-Efficient Gradients for Neural ODEs (2019, background): “, the fact that the ODE is reversible only if the time horizon is less or equal to τ ) can be extended to Lipschitz functions [Calcaterra and Boldt, 2008].”