Generalized solutions of a hyperbolic equation with a -sub-Gaussian right hand side

Author:
B. V. Dovgaĭ

Translated by:
N. Semenov

Original publication:
Teoriya Imovirnostei ta Matematichna Statistika, tom **81** (2010).

Journal:
Theor. Probability and Math. Statist. **81** (2010), 27-33

MSC (2000):
Primary 60H15, 35L20, 35R60

DOI:
https://doi.org/10.1090/S0094-9000-2010-00807-6

Published electronically:
January 14, 2011

MathSciNet review:
2667307

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A hyperbolic equation with a -sub-Gaussian right hand side is considered. Conditions for the existence of a generalized solution of such an equation are found.

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Additional Information

**B. V. Dovgaĭ**

Affiliation:
Department of Operations Research, Faculty for Cybernetics, National Taras Shevchenko University, Glushkov Avenue 6, Kyiv 03127, Ukraine

Email:
bogdov@gmail.com

DOI:
https://doi.org/10.1090/S0094-9000-2010-00807-6

Keywords:
Generalized solutions,
hyperbolic equation,
$\varphi$-sub-Gaussian stochastic process

Received by editor(s):
May 20, 2009

Published electronically:
January 14, 2011

Article copyright:
© Copyright 2010
American Mathematical Society