| Título: | Localization of solutions to stochastic porous media equations: finite speed of propagation |
| Autores: |
Barbu, Viorel; Al.I.Cuza University Roeckner, Michael; Bielefeld University |
| Fecha: | 2012-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Wiener process; porous media equation; energy method; stochastic flow 60H15; 35R60 |
| Descripción: | It is proved that the solutions to the slow diffusion stochastic porous media equation $dX-{\Delta}( |X|^{m-1}X )dt=\sigma(X)dW_t,$ $ 1< m\le 5,$ in $\mathcal{O}\subset\mathbb{R}^d,\ d=1,2,3,$ have the property of finite speed of propagation of disturbances for $\mathbb{P}\text{-a.s.}$ ${\omega}\in{\Omega}$ on a sufficiently small time interval $(0,t({\omega}))$. |
| Idioma: | Inglés |
1 Lévy Classes and Self-Normalization por Khoshnevisan, Davar; University of Utah | 6 Time-Space Analysis of the Cluster-Formation in Interacting Diffusions por Fleischmann, Klaus; Weierstrass Institute for Applied Analysis and Stochastics,Greven, Andreas; Universitat Erlangen-Nurnberg |
2 Hausdorff Dimension of Cut Points for Brownian Motion por Lawler, Gregory F.; Duke University and Cornell University | 7 Conditional Moment Representations for Dependent Random Variables por Bryc, Wlodzimierz; University of Cincinnati |
3 Eigenvalue Expansions for Brownian Motion with an Application to Occupation Times por Bass, Richard F.; University of Washington,Burdzy, Krzysztof; University of Washington | 8 Almost Sure Exponential Stability of Neutral Differential Difference Equations with Damped Stochastic Perturbations por Liao, Xiao Xin; University of Strathclyde,Mao, Xuerong; University of Strathclyde |
4 Random Discrete Distributions Derived from Self-Similar Random Sets por Pitman, Jim; University of California, Berkeley,Yor, Marc; Université Pierre et Marie Curie | 9 Quantitative Bounds for Convergence Rates of Continuous Time Markov Processes por Roberts, Gareth O.; University of Cambridge,Rosenthal, Jeffrey S.; University of Toronto |
5 A Microscopic Model for the Burgers Equation and Longest Increasing Subsequences por Seppäläinen, Timo; Iowa State University | 10 Metastability of the Three Dimensional Ising Model on a Torus at Very Low Temperatures por Ben Arous, Gérard; Ecole Normale Supérieure,Cerf, Raphaël; Université Paris Sud |