On a Semilinear Strongly Degenerate Parabolic Equation in an Unbounded Domain

Anh Cung The; Tuyet. Le Thi

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On a Semilinear Strongly Degenerate Parabolic Equation in an Unbounded Domain

机译：无界域上的半线性强退化抛物方程

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Westudytheexistenceandlong-timebehaviorofsolutionstoasemilinearstronglydegenerateparabolicequationon$BbbR^N$underanarbitrarypolynomialgrowthorderofthenonlinearity.Toovercomesomesignificantdifficultycausedbythelackofcompactnessoftheembeddings,theexistenceofglobalattractorsisprovedbycombiningthetailestimatesmethodandtheasymptotic$ extit{apriori}$estimatemethod.

机译：Westudy的存在和长时间的解决方案可以解决非线性上任意非线性的多项式增长阶上的$ BbbR ^ N $上的抛物线方程。

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《Journal of mathematical sciences, The University of Tokyo》 |2013年第1期|共页
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Anh Cung The; Tuyet. Le Thi;
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1. On a Semilinear Strongly Degenerate Parabolic Equation in an Unbounded Domain [J] . Anh Cung The, Tuyet. Le Thi Journal of mathematical sciences, The University of Tokyo . 2013,第1期

机译：无界域上的半线性强退化抛物方程
2. Geometry of unbounded domains, poincare inequalities and stability in semilinear parabolic equations [J] . Philippe Souplet Communications in Partial Differential Equations . 1999,第5a6期

机译：半线性抛物方程的无界域几何，Poincare不等式和稳定性
3. Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains [J] . Andrew Krause, Bixiang Wang Journal of Mathematical Analysis and Applications . 2014,第2期

机译：无界域上非自治随机退化简并抛物方程的回撤吸引子
4. RADIAL SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS WITH BROKEN SYMMETRY ON UNBOUNDED DOMAINS [C] . Sara Barile, Addolorata Salvatore AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：无界域对称对称性的半线性椭圆方程的径向解
5. Infinite-time quenching, beyond quenching and complete blow -up for degenerate semilinear parabolic equations. [D] . Yang, Jian. 1999

机译：无限时间淬火，超越了淬灭和完全爆破的退化半线性抛物方程。
6. Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations [O] . Monika Eisenmann, Eskil Hansen -1

机译：退化抛物方程基于域分解的时间积分器的收敛性分析
7. Comparison Principle and Convexity Preserving Properties for Singular Degenerate Parabolic Equations on Unbounded Domains(Evolution Equations and Applications to Nonlinear Problems) [O] . GIGA YOSHIKAZU, GOTO SHUNICHI, ISHII HITOSHI, 1991

机译：无界域上奇异退化抛物方程的比较原理和凸性保持性质（演化方程及其在非线性问题中的应用）

On a Semilinear Strongly Degenerate Parabolic Equation in an Unbounded Domain

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