[1]杨晓菊,詹华税.各向异性的非线性抛物方程解的爆破[J].集美大学学报(自然科学版),2020,25(4):317-320.
YANG Xiaoju,ZHAN Huashui.The Blow-up of Solutions for Nonlinear Parabolic Anisotropic Equations[J].Journal of Jimei University,2020,25(4):317-320.
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《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
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第25卷
- 期数:
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2020年第4期
- 页码:
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317-320
- 栏目:
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数理科学与信息工程
- 出版日期:
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2020-07-28
文章信息/Info
- Title:
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The Blow-up of Solutions for Nonlinear Parabolic Anisotropic Equations
- 作者:
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杨晓菊1; 詹华税2
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(1.集美大学理学院,福建 厦门 361021 ;2.厦门理工学院应用数学学院,福建 厦门 361024)
- Author(s):
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YANG Xiaoju1; ZHAN Huashui2
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(1.School of Science,Jimei University,Xiamen 361021,China;2.School of Applied Mathematics,Xiamen University of Technology,Xiamen 361024,China)
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- 关键词:
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爆破性; 各向异性方程; 正初始能量; 狄利克雷边界条件
- Keywords:
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blow-up; anisotropic equation; positive initial energy; Dirichlet boundary conditions
- 分类号:
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- DOI:
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- 文献标志码:
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- 摘要:
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考虑带有齐次狄利克雷边界条件的各向异性的非线性抛物方程ut=∑ni=1(uxipi-2uxi)/xi+f(u)。利用能量泛函的方法,证明解在正初始能量的情形下具有爆破性。
- Abstract:
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This paper was devoted to the study of anisotropic equation ut=∑ni=1(uxipi-2uxi)/xi+f(u) with the homogeneous Dirichlet boundary conditions.A blow-up results was considered by the method of energy functional with positive initial energy.
参考文献/References:
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更新日期/Last Update:
2020-09-16