LOWER SEMICONTINUITY OF WEAK SUPERSOLUTIONS TO NONLINEAR PARABOLIC EQUATIONS

Tuomo Kuusi

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LOWER SEMICONTINUITY OF WEAK SUPERSOLUTIONS TO NONLINEAR PARABOLIC EQUATIONS

机译：非线性抛物方程的弱超解的半连续性

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We prove that weak supersolutions to equations similar to the evolutionary p-Laplace equation have lower semicontinuous representatives. The proof avoids the use of Harnack's inequality and, in particular, the use of parabolic BMO. Moreover, the result gives a new point of view to approaching the continuity of the solutions to a second-order partial differential equation in divergence form.

机译：我们证明，类似于演化p-Laplace方程的方程组的弱超解具有较低的半连续表示。该证明避免了使用Harnack不等式，特别是避免了使用抛物线形BMO。而且，该结果为以散度形式求解二阶偏微分方程的解的连续性提供了新的观点。

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来源
《Differential and integral equations》 |2009年第12期|共12页
作者
Tuomo Kuusi;
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原文格式 PDF
正文语种 eng
中图分类 513B0075;
关键词
inequality; second-order; divergence;

机译：不等式;二阶;发散;

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专利

1. LOWER SEMICONTINUITY OF WEAK SUPERSOLUTIONS TO NONLINEAR PARABOLIC EQUATIONS [J] . Tuomo Kuusi Differential and integral equations . 2009,第11a12期

机译：非线性抛物方程的弱超解的半连续性
2. Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations [J] . Saari Olli Revista matematica iberoamericana . 2016,第3期

机译：抛物线形BMO与双非线性抛物方程超解的整体可积性
3. Weak Harnack estimates for supersolutions to doubly degenerate parabolic equations [J] . Li Qifan Nonlinear Analysis: An International Multidisciplinary Journal . 2018,第期

机译：弱哈纳克估计超级化到双重退化抛物方程的估计
4. Viscosity supersolutions of a class of Hamilton-Jacobi-Isaacs equations arising in nonlinear H/sup /spl infin// control [C] . MingQing Xiao, Basar, T. . 1997

机译：非线性H / sup / spl infin //控制中产生的一类Hamilton-Jacobi-Isaacs方程的粘度超解
5. Weak solutions for contractive nonlinear equations and parabolic relaxation limits. [D] . Portilheiro, Manuel Alvares. 2001

机译：压缩非线性方程和抛物线松弛极限的弱解。
6. Hazardous Continuation Backward in Time in Nonlinear Parabolic Equations and an Experiment in Deblurring Nonlinearly Blurred Imagery [O] . Alfred S Carasso 2013

机译：非线性抛物方程在时间上向后的危险连续性以及非线性模糊图像去模糊的实验
7. LOWER SEMICONTINUITY OF WEAK SUPERSOLUTIONS TO THE POROUS MEDIUM EQUATION [O] . Benny Avelin, Teemu Lukkari 2016

机译：对多孔介质方程的弱超溶解的半连续性

LOWER SEMICONTINUITY OF WEAK SUPERSOLUTIONS TO NONLINEAR PARABOLIC EQUATIONS

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