STOCHASTIC EVOLUUTION EQUATIONS WITH MONOTONE NONLINEARITY IN <em>L^p</em> SPACES

DOI10.22190/FUMI1904601AzbMath1474.34404OpenAlexW3000764809MaRDI QIDQ3388601

Ruhollah Jahanipur, Majid Amintorabi

Publication date: 6 May 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi1904601a

zbMATH Keywords

Lipschitz conditionmultiplicative noisesemilinear stochastic evolution equationssemimonotone nonlinearity

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential equations and systems with randomness (34F05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Cites Work

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• Unconditional structures of translates for \(L_p(\mathbb R^d)\)
• Itô's formula in UMD Banach spaces and regularity of solutions of the Zakai equation
• Infinite dimensional linear systems theory
• Stochastic partial differential equations in \(M\)-type 2 Banach spaces
• Non-linear equations of evolution
• On stochastic convolution in banach spaces and applications
• Stochastic Equations in Infinite Dimensions

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