Open AccessSome Nonlinear Stochastic Cauchy Problems with Generalized Stochastic Processes
Author(s) -
Victor Dévoué
Publication year - 2016
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2016/5963420
Subject(s) - cauchy distribution , nonlinear system , mathematics , algorithm , computer science , mathematical analysis , physics , quantum mechanics
We study some nonlinear stochastic Cauchy problems in the framework of the (C,E,P)-algebras. We adapt the definitions to this framework. By means of suitable regularizations, we define associated generalized problems. We use our previous results about the wave equation in canonical form to obtain generalized solutions. We compare the generalized solutions with the classical ones when they exist
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