| Título: | Finite Width For a Random Stationary Interface |
| Autores: |
Mueller, Carl; University of Rochester Tribe, Roger; University of Warwick |
| Fecha: | 1997-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics Stochastic partial differential equations, duality, travelling waves, white noise Primary 60H15; secondary 35R60 |
| Descripción: | We study the asymptotic shape of the solution $u(t,x) \in [0,1]$ to a one-dimensional heat equation with a multiplicative white noise term. At time zero the solution is an interface, that is $u(0,x)$ is 0 for all large positive $x$ and $u(0,x)$ is 1 for all large negitive $x$. The special form of the noise term preserves this property at all times $t \geq 0$. The main result is that, in contrast to the deterministic heat equation, the width of the interface remains stochastically bounded. |
| Idioma: | Inglés |
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