Random Operator Equations in Mathematical Physics. I

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1970 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 11, pages 1,069-1,084 (issn: 0022-2488, eissn: 1089-7658,

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Authors: G. Adomian;

doi: 10.1063/1.1665198

Random Operator Equations in Mathematical Physics. I

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Abstract

For stochastic differential equations arising in physical problems, the objectives, limitations, and restrictive assumptions of the various methods are studied and some promising new methods are derived which eliminate various limitations and allow treatment of a wide class of applications in physics. (Among these, will be an adequate treatment of the propagation of an electromagnetic wave in a random continuum or a random d'Alembertian operator without assumptions of ``small randomness'' and other restrictions.)

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University of Georgia Press
United States

Keywords

structure of matter

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