A filter method for inverse nonlinear sideways heat equation
Abstract In this paper, we study a sideways heat equation with a nonlinear source in a bounded domain, in which the Cauchy data at x = X $x = \mathcal {X}$ are given and the solution in 0 ≤ x < X $0 \le x < \mathcal {X}$ is sought. The problem is severely ill-posed in the sense of Hadamard. Ba...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2020-04-01
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Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-020-02601-4 |