National Changhua University of Education Institutional Repository : Item 987654321/16689

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/16689

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/16689

Title:	Infinite Time Blow-Up of Solutions to a Nonlinear Parabolic Problem
Authors:	Chen, Chao-Nien
Contributors:	數學系
Date:	1997-09
Issue Date:	2013-06-05T07:32:07Z
Publisher:	Elsevier
Abstract:	We investigate the blow-up of solutions of nonuniformly parabolic equations. It will be shown that the gradient of the solution tends to infinity as time goes to infinity, even though theL∞-norm of the solution may remain uniformly bounded. This phenomenon is in contrast with a result for semilinear heat equations, where it follows from regularity theory that the solution converges to an equilibrium if it is uniformly bounded in theL∞-norm.
Relation:	Journal of Differential Equations, 139(2): 409-427
Appears in Collections:	[math] Periodical Articles

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