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題名: | Infinite Time Blow-Up of Solutions to a Nonlinear Parabolic Problem |
作者: | Chen, Chao-Nien |
貢獻者: | 數學系 |
日期: | 1997-09
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上傳時間: | 2013-06-05T07:32:07Z
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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 |
顯示於類別: | [數學系] 期刊論文
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