A PRIORI BOUNDS FOR GLOBAL SOLUTIONS OF HIGHER-ORDER SEMILINEAR PARABOLIC PROBLEMS

• 来源期刊: 偏微分方程(英文版)
• 关键词: A priori bound higher-order equation semilinear parabolic problem maximal regularity estimate
• 年，卷（期）: 2008,（3）
• 页码范围: 221-233
• 页数: 13页
• 语种: 英文

摘要

In this paper, we derive a priori bounds for global solutions of 2m-thorder semilinear parabolic equations with superlinear and subcritical growth conditions.The proof is obtained by a bootstrap argument and maximal regularity estimates. Ifn ≥10/3m , we also give another proof which does not use maximal regularity estimates.