Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations

DOI10.1002/mma.3879zbMath1348.60091OpenAlexW2288335096MaRDI QIDQ2830325

Mamadou Abdoul Diop, Aziz Mané, Tomás Caraballo Garrido

Publication date: 28 October 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/52714

zbMATH Keywords

mild solutionsresolvent operatorslocal non-Lipschitz condition\(C_{0}\)-semigroupstochastic partial integrodifferential evolution equations

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Second-order parabolic systems (35K40)

Related Items (4)

Stability of a non-Lipschitz stochastic Riemann-Liouville type fractional differential equation driven by Lévy noise ⋮ On stochastic elliptic equations driven by Wiener process with non-local condition ⋮ Mild solutions of local non-Lipschitz neutral stochastic functional evolution equations driven by jumps modulated by Markovian switching ⋮ Stochastic fractional differential equations driven by Lévy noise under Carathéodory conditions

Cites Work

• Second-order neutral stochastic evolution equations with infinite delay under Carathéodory conditions
• The existence and uniqueness of energy solutions to local non-Lipschitz stochastic evolution equations
• Analytic resolvent operators for integral equations in Banach space
• Successive approximations to solutions of stochastic differential equations
• Existence and stability of solutions to non-Lipschitz stochastic differential equations driven by Lévy noise
• Stochastic partial differential equations and filtering of diffusion processes
• Resolvent Operators for Integral Equations in a Banach Space
• Stability of Infinite Dimensional Stochastic Differential Equations with Applications
• SUCCESSIVE APPROXIMATIONS OF INFINITE DIMENSIONAL SDES WITH JUMP
• On the successive approximation of solutions of stochastic differential equations

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