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| 一类带有非线性边界条件的拟线性抛物型方程解的大时间性态 | |
| 引用本文： | 王明新. 一类带有非线性边界条件的拟线性抛物型方程解的大时间性态[J]. 数学学报, 1996, 39(1): 118-124. DOI: cnki:ISSN:0583-1431.0.1996-01-016 |
| 作者姓名： | 王明新 |
| 作者单位： | 东南大学数学力学系!南京210018 |
| 基金项目： | 国家自然科学基金资助项目． |
| 摘 要： | 本文讨论一类带有非线性边界条件的拟线性抛物型方程解的大时间性态，给出了解整体存在的充分必要条件． |
| 关 键 词： | 抛物型方程 非线性边界条件 整体解 爆破 |
| 收稿时间： | 1993-08-24 |
| 修稿时间： | 1994-11-28 |
Long Time Behaviors of Solutions for Some Quasilinear Parablic Equations with Nonliner Boundary Conditions |
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| Wang Mingxin. Long Time Behaviors of Solutions for Some Quasilinear Parablic Equations with Nonliner Boundary Conditions[J]. Acta Mathematica Sinica, 1996, 39(1): 118-124. DOI: cnki:ISSN:0583-1431.0.1996-01-016 | |
| Authors: | Wang Mingxin |
| Affiliation: | Wang Mingxin (Department of Mathematics and Mechanics,Southeast University,Nanjing 210018, China) |
| Abstract: | In this paper, we deal with the long time behaviors of solutions for some quasilinear parabolic equations with nonlinear boundary conditions. The necessary and sufficient conditions on the global existence of solutions are obtained. |
| Keywords: | parabolic equations nonlinear boundary conditions global solutions blowing up |
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