@Article{JPDE-21-221, author = {Ruixiang Xing and Hongjing Pan }, title = {A Priori Bounds for Global Solutions of Higher-order Semilinear Parabolic Problems}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {3}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5279.html} }