One class of Sobolev type equations of higher order with additive ``white noise

zbMath1331.35406MaRDI QIDQ905420

Angelo Favini, Georgiĭ Anatol'evich Sviridyuk, Alena Aleksandrovna Zamyshlaeva

Publication date: 19 January 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

propagatorwhite noiseSobolev type equationK-Wiener process

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs with randomness, stochastic partial differential equations (35R60) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Linear higher-order PDEs (35G05) Initial-boundary value problems for linear higher-order PDEs (35G16)

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Cites Work

• Global and stochastic analysis with applications to mathematical physics
• Higher-order linear equations of the Sobolev type
• Small amplitude solutions of the generalized IMBq equation.
• Abstract stochastic equations. II: Solutions in spaces of abstract stochastic distributions.
• Numerical solution of the optimal measurement problem
• The linear Sobolev-type equations with relatively \(p\)-bounded operators and additive white noise
• The phase spaces of a class of linear higher-order Sobolev type equations
• Linear Sobolev type equations and degenerate semigroups of operators
• Blow-up in Nonlinear Sobolev Type Equations
• The Higher-Order Sobolev-Type Models
• The Dynamical Models of Sobolev Type with Showalter - Sidorov Condition and Additive "Noise"
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