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Volume 21, Issue 3
A Priori Bounds for Global Solutions of Higher-order Semilinear Parabolic Problems

Ruixiang Xing & Hongjing Pan

J. Part. Diff. Eq., 21 (2008), pp. 221-233.

Published online: 2008-08

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  • 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.
  • Keywords

A priori bound higher-order equation semilinear parabolic problem maximal regularity estimate

  • AMS Subject Headings

35B45 35K55 35K57.

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
TY - JOUR T1 - A Priori Bounds for Global Solutions of Higher-order Semilinear Parabolic Problems AU - Ruixiang Xing & Hongjing Pan JO - Journal of Partial Differential Equations VL - 3 SP - 221 EP - 233 PY - 2008 DA - 2008/08 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5279.html KW - A priori bound KW - higher-order equation KW - semilinear parabolic problem KW - maximal regularity estimate AB - 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.
Ruixiang Xing and Hongjing Pan . (2008). A Priori Bounds for Global Solutions of Higher-order Semilinear Parabolic Problems. Journal of Partial Differential Equations. 21 (3). 221-233. doi:
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