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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On a stochastic nonlinear equation in one-dimensional viscoelasticity


Author: Jong Uhn Kim
Journal: Trans. Amer. Math. Soc. 354 (2002), 1117-1135
MSC (2000): Primary 35R60, 60H15, 74D10
DOI: https://doi.org/10.1090/S0002-9947-01-02894-X
Published electronically: October 4, 2001
MathSciNet review: 1867374
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Abstract: In this paper we discuss an initial-boundary value problem for a stochastic nonlinear equation arising in one-dimensional viscoelasticity. We propose to use a new direct method to obtain a solution. This method is expected to be applicable to a broad class of nonlinear stochastic partial differential equations.


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Additional Information

Jong Uhn Kim
Affiliation: Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061-0123
Email: kim@math.vt.edu

DOI: https://doi.org/10.1090/S0002-9947-01-02894-X
Keywords: Viscoelasticity, random force, white noise, pathwise solutions
Received by editor(s): October 19, 2000
Received by editor(s) in revised form: May 4, 2001
Published electronically: October 4, 2001
Article copyright: © Copyright 2001 American Mathematical Society