A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient | Zendy

Pham Hoang Quan | Zendy; Le Minh Triet | Zendy; Dang Duc Trong | Zendy

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A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient

Author(s) -

Pham Hoang Quan,

Le Minh Triet,

Dang Duc Trong

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/943621

Subject(s) - mathematics , regularization (linguistics) , nonlinear system , boundary value problem , mathematical analysis , well posed problem , physics , quantum mechanics , artificial intelligence , computer science

We study the backward problem with time-dependent coefficient which is a severely ill-posed problem. We regularize this problem by combining quasi-boundary value method and quasi-reversibility method and then obtain sharp error estimate between the exact solution and the regularized solution. A numerical experiment is given in order to illustrate our results.

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