Year: 2013
Author: Jinyong Guo
Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 261–270
Abstract
We consider an initial-boundary value problem for a $p$-biharmonic parabolic equation. Under some assumptions on the initial value, we construct approximate solutions by the discrete-time method. By means of uniform estimates on solutions of the time-difference equations, we establish the existence of weak solutions, and also discuss the uniqueness.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-19011
Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 261–270
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: $p$-biharmonic parabolic equation weak solution existence uniqueness.