Finite time extinction for solutions to fast diffusion stochastic porous media equations

被引:22
作者
Barbu, Viorel [1 ]
Da Prato, Giuseppe [2 ]
Roeckner, Michael [3 ,4 ]
机构
[1] Inst Math Octav Mayer, Iasi 700506, Romania
[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[3] Univ Bielefeld, Fac Math, D-4800 Bielefeld, Germany
[4] Purdue Univ, Dept Math & Stat, W Lafayette, IN 47907 USA
关键词
D O I
10.1016/j.crma.2008.11.018
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the solutions to fast diffusion stochastic porous media equations have finite time extinction with strictly positive probability. To cite this article: V. Barbu et at., C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:81 / 84
页数:4
相关论文
共 6 条
[1]  
BARBU V, COMM MATH P IN PRESS
[2]  
BARBU V, ANN PROBAB IN PRESS
[3]  
Barbu V, 2008, INDIANA U MATH J, V57, P187
[4]  
BERRYMAN JG, 1980, ARCH RATION MECH AN, V74, P379, DOI 10.1007/BF00249681
[5]   Stochastic generalized porous media and fast diffusion equations [J].
Ren, Jiagang ;
Rockner, Michael ;
Wang, Feng-Yu .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 238 (01) :118-152
[6]  
ROCKNER M, J DIFFERENT IN PRESS