Year: 2008
Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 3 : pp. 221–233
Abstract
In this paper, we derive a priori bounds for global solutions of 2m-th order semilinear parabolic equations with superlinear and subcritical growth conditions. The proof is obtained by a bootstrap argument and maximal regularity estimates. If n ≥ \frac{10}{3}m, we also give another proof which does not use maximal regularity estimates.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-JPDE-5279
Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 3 : pp. 221–233
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: A priori bound