EXISTENCE OF GLOBAL MARTINGALE SOLUTIONS TO STOCHASTIC HYPERBOLIC EQUATIONS DRIVEN BY A SPATIALLY HOMOGENEOUS WIENER PROCESS
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Publication:5468896
DOI10.1142/S0219493706001633zbMath1092.60024MaRDI QIDQ5468896
Publication date: 3 May 2006
Published in: Stochastics and Dynamics (Search for Journal in Brave)
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Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Fractional powers of dissipative operators. II
- Stability of nonlinear stochastic-evolution equations
- Abstract non linear wave equations
- Martingale solutions and invariant measures for stochastic evolution equations in Banach spaces
- Stochastic evolution equations with a spatially homogeneous Wiener process
- The Cauchy problem for a nonlinear stochastic wave equation in any dimension
- On weak solutions of stochastic equations in Hilbert spaces
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