Determination of an unknown coefficient in a nonlinear heat equation

Ping Wang; Kewang Zheng

doi:10.1016/S0022-247X(02)00165-8

Determination of an unknown coefficient in a nonlinear heat equation

Ping Wang
, Kewang Zheng

Penn State Schuylkill

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The problem of determining an unknown term k(u) in the equation k(u)u_t = (k(u)u_x)_x is considered in this paper. Applying Tikhonov's regularization approach, we develop a procedure to find an approximate stable solution to the unknown coefficient from the overspecified data.

Original language	English (US)
Pages (from-to)	525-533
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	271
Issue number	2
DOIs	https://doi.org/10.1016/S0022-247X(02)00165-8
State	Published - Jul 15 2002

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/S0022-247X(02)00165-8

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title = "Determination of an unknown coefficient in a nonlinear heat equation",

abstract = "The problem of determining an unknown term k(u) in the equation k(u)ut = (k(u)ux)x is considered in this paper. Applying Tikhonov's regularization approach, we develop a procedure to find an approximate stable solution to the unknown coefficient from the overspecified data.",

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AB - The problem of determining an unknown term k(u) in the equation k(u)ut = (k(u)ux)x is considered in this paper. Applying Tikhonov's regularization approach, we develop a procedure to find an approximate stable solution to the unknown coefficient from the overspecified data.

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Determination of an unknown coefficient in a nonlinear heat equation

Abstract

All Science Journal Classification (ASJC) codes

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