On stochastic partial differential equations with polynomial nonlinearities

DOI10.1080/17442509908834205zbMath0945.60052OpenAlexW2088935170MaRDI QIDQ4700351

Carles Rovira, István Gyöngy

Publication date: 24 September 2000

Published in: Stochastics and Stochastic Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442509908834205

zbMATH Keywords

Dirichlet problemexistenceuniquenessWiener processstochastic partial differential equations

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (10)

On \(L^ {p}\)-solutions of semilinear stochastic partial differential equations. ⋮ Stochastic Burgers' equation on the real line: regularity and moment estimates ⋮ \(L_p\)-regularity theory for semilinear stochastic partial differential equations with multiplicative white noise ⋮ Mild solutions for the stochastic generalized Burgers-Huxley equation ⋮ A regularity theory for stochastic generalized Burgers' equation driven by a multiplicative space-time white noise ⋮ The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations ⋮ The Burgers equation driven by a stochastic measure ⋮ On a generalized stochastic Burgers' equation perturbed by Volterra noise ⋮ On a mixed fractional Burgers type equation with polynomial nonlinearity and perturbed by fractional Brownian sheet ⋮ Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations

Cites Work

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• Existence of strong solutions for Itô's stochastic equations via approximations
• Existence and uniqueness results for semilinear stochastic partial differential equations
• On $L_p $-Theory of Stochastic Partial Differential Equations in the Whole Space
• Stochastic burgers equation with correlated noise
• The partial differential equation u_t + uu_x = μ_xx

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