Asymptotic analysis of some nonlinear problems using Hopf-Cole transform and spectral theory

Joseph, K.T. (1989) Asymptotic analysis of some nonlinear problems using Hopf-Cole transform and spectral theory Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 99 (2). pp. 181-190. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/99/2/181-19...

Related URL: http://dx.doi.org/10.1007/BF02837806

Abstract

We consider initial boundary value problems for certain nonlinear scalar parabolic equations. A formula for the unique classical solution by Hopf-Cole transformations is obtained and the asymptotic behaviour of the solution as time goes to ∞ is studied.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Nonlinear Parabolic Equation; Initial Boundary Value Problem; Eigenvalue Problem; Asymptotic Behaviour
ID Code:14860
Deposited On:12 Nov 2010 13:27
Last Modified:16 May 2016 23:50

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