Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/13869
Title: Nonlinear stochastic wave equation with Colombeau generalized stochastic processes
Authors: Nedeljkov, Marko 
Rajter, Danijela 
Issue Date: 1-Jan-2002
Journal: Mathematical Models and Methods in Applied Sciences
Abstract: Colombeau generalized stochastic processes are introduced in order to solve nonlinear wave and Klein-Gordon equations with stochastic processes. Particular cases include one- and three-dimensional wave and Klein-Gordon equations with Lipschitz and cubic nonlinearities. In all cases, considered as Colombeau generalized stochastic processes, solutions are obtained and proved to be unique. The normalizations of the initial data and stochastic processes appear to be the crucial points for the existence of solutions to the above equations.
URI: https://open.uns.ac.rs/handle/123456789/13869
ISSN: 02182025
DOI: 10.1142/S0218202502001842
Appears in Collections:PMF Publikacije/Publications

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