@Article{JPDE-21-3, author = {}, 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/2008-JPDE-5279}, url = {https://global-sci.com/article/88446/a-priori-bounds-for-global-solutions-of-higher-order-semilinear-parabolic-problems} }