A Pseudo-Parabolic Type Equation with Nonlinear Sources

A Pseudo-Parabolic Type Equation with Nonlinear Sources

Year:    2011

Author:    Yinghua Li, Yang Cao, Yifu Wang

Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 37–46

Abstract

This paper is concerned with the existence and uniqueness of nonnegative classical solutions to the initial-boundary value problems for the pseudo-parabolic equation with strongly nonlinear sources. Furthermore, we discuss the asymptotic behavior of solutions as the viscosity coefficient $k$ tends to zero.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2011-CMR-19103

Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 37–46

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    pseudo-parabolic equation existence uniqueness asymptotic behavior.

Author Details

Yinghua Li

Yang Cao

Yifu Wang