Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory

Tomás Caraballo; I. D. Chueshov; Pedro Marín-Rubio; José Real

doi:10.3934/dcds.2007.18.253

Article Contents

2007, Volume 18, Issue 2&3: 253-270. Doi: 10.3934/dcds.2007.18.253

This issue Previous Article Dynamics of a predator-prey model with non-monotonic response function Next Article Existence of exponentially attracting stationary solutions for delay evolution equations

Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory

1.
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla
2.
Department of Mechanics and Mathematics, Kharkov National University, 4 Svobody sq., 61077, Kharkov
3.
Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla

Received: March 2006

Revised: May 2006

Published: June 2007

Abstract Related Papers Cited by

Abstract

The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. Sufficient conditions ensuring stability of the zero solution are provided and a possibility of stabilization by noise of the deterministic counterpart of the model is studied.

Keywords:

Mathematics Subject Classification: Primary: 60H15, 35K40.

Citation:

Article Metrics

HTML views() PDF downloads(100) Cited by(0)

Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content