National Changhua University of Education Institutional Repository : Item 987654321/16689
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题名: Infinite Time Blow-Up of Solutions to a Nonlinear Parabolic Problem
作者: Chen, Chao-Nien
贡献者: 數學系
日期: 1997-09
上传时间: 2013-06-05T07:32:07Z
出版者: Elsevier
摘要: 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.
關聯: Journal of Differential Equations, 139(2): 409-427
显示于类别:[數學系] 期刊論文

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