Existence of solutions and stability of a class of parabolic systems perturbed by generalized white noise on the boundary∗

DOI10.1080/07362998408809043zbMath0548.60065OpenAlexW2066402195MaRDI QIDQ3339884

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Publication date: 1984

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362998408809043

zbMATH Keywords

stochastic boundary value problemsLyapunov type stabilityExistence of weak solutions

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (3)

Some results on parabolic equations in Banach space ⋮ Abstract stochastic evolution equations on banach spaces ⋮ THE CAUCHY PROBLEM FOR THE WAVE EQUATION WITH LÉVY NOISE INITIAL DATA

Cites Work

• Unnamed Item
• Stability of a class of stochastic distributed parameter systems with random boundary conditions
• Stability of nonlinear stochastic-evolution equations
• \(L^p(R_0)\;(p\geq 1)\) stability in the mean \(m(m\geq 1)\) of a class of stochastic Volterra integral equations
• Optimal control of a class of strongly nonlinear parabolic systems
• Stochastic stability and control
• Markov processes generated by linear stochastic evolution equations
• Stochastic Control on Hilbert Space for Linear Evolution Equations with Random Operator-Valued Coefficients

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