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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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