Open Access
Translator Disclaimer
August 2001 On a nonlinear stochastic wave equation in the plane: existence and uniqueness of the solution
Annie Millet, Pierre-Luc Morien
Ann. Appl. Probab. 11(3): 922-951 (August 2001). DOI: 10.1214/aoap/1015345353

Abstract

In this paper, we investigate the existence and uniqueness of the solution for a class of stochastic wave equations in two space-dimensions containing a non-linearity of polynomial type. The method used in the proofs combines functional analysis arguments with probabilistic tools, and furher estimates for the Green function associated with the classical wave equation.

Citation

Download Citation

Annie Millet. Pierre-Luc Morien. "On a nonlinear stochastic wave equation in the plane: existence and uniqueness of the solution." Ann. Appl. Probab. 11 (3) 922 - 951, August 2001. https://doi.org/10.1214/aoap/1015345353

Information

Published: August 2001
First available in Project Euclid: 5 March 2002

zbMATH: 1017.60072
MathSciNet: MR1865028
Digital Object Identifier: 10.1214/aoap/1015345353

Subjects:
Primary: 60H15
Secondary: 35J60

Keywords: Gaussian noise , Stochastic partial differential equations , wave equation

Rights: Copyright © 2001 Institute of Mathematical Statistics

JOURNAL ARTICLE
30 PAGES


SHARE
Vol.11 • No. 3 • August 2001
Back to Top