On a stochastic nonlinear equation in one-dimensional viscoelasticity

DOI10.1090/S0002-9947-01-02894-XzbMath0986.35142MaRDI QIDQ2759057

Jong Uhn Kim

Publication date: 10 December 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

viscoelasticityrandom forcepathwise solutionsstochastic PDE

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Cites Work

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• On the stochastic Korteweg-de Vries equation
• The stochastic Korteweg-de Vries equation in \(L^2(\mathbb{R})\)
• The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
• On the uniqueness of solutions of stochastic differential equations
• Equations aux dérivées partielles stochastiques non linéaires. I
• Sur une équation d'évolution stochastique
• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
• Stochastic Equations in Infinite Dimensions

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