Nonlinear singularly perturbed problems of ultra parabolic equations

LIN Su-rong;MO Jia-qi;

doi:10.1007/s10483-008-1012-z

Applied Mathematics and Mechanics >

2008 , Vol. 29 >Issue 10: 1377 - 1381

DOI: https://doi.org/10.1007/s10483-008-1012-z

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Nonlinear singularly perturbed problems of ultra parabolic equations

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1. Department of Computer, Fujian Radio and TV University, Fuzhou 350003, P. R. China; 2. Department of Mathematics, Anhui Normal University,Wuhu 241000,Anhui Province, P. R. China; 3. Division of Computational Science, E-Institute of Shanghai Universities at SJTU,Shanghai 200240, P. R. China

Received date: 2007-11-21

Revised date: 2008-08-12

Online published: 2008-10-01

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Abstract

A class of nonlinear singularly perturbed problem of ultra parabolic equations are considered. Using the comparison theorem, the existence, uniqueness and its asymptotic behavior of solution for the problem are studied.

Key words： ultra parabolic equation; singular perturbation; asymptotic behavior; comparison theorem

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LIN Su-rong;MO Jia-qi; . Nonlinear singularly perturbed problems of ultra parabolic equations[J]. Applied Mathematics and Mechanics, 2008 , 29(10) : 1377 -1381 . DOI: 10.1007/s10483-008-1012-z

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