On the exponential temporal decay of solutions and their derivatives for quasilinear parabolic equations

Yevgeni Shenker; Joseph J. Roseman

doi:10.1007/BF00944753

On the exponential temporal decay of solutions and their derivatives for quasilinear parabolic equations

Yevgeni Shenker, Joseph J. Roseman

School of Mathematical Sciences

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

Abstract

A nonlinear model for temperature evolution in a one-dimensional rod is considered. Integral and uniform pointwise temporal exponential decay estimates for the solution and its derivatives are obtained. A method is demonstrated for derivatives up to the third order but seems to apply for derivatives of any order as well.

Original language	English
Pages (from-to)	198-223
Number of pages	26
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	46
Issue number	2
DOIs	https://doi.org/10.1007/BF00944753
State	Published - Mar 1995

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title = "On the exponential temporal decay of solutions and their derivatives for quasilinear parabolic equations",

abstract = "A nonlinear model for temperature evolution in a one-dimensional rod is considered. Integral and uniform pointwise temporal exponential decay estimates for the solution and its derivatives are obtained. A method is demonstrated for derivatives up to the third order but seems to apply for derivatives of any order as well.",

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On the exponential temporal decay of solutions and their derivatives for quasilinear parabolic equations

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