Mild solutions of non‐Lipschitz stochastic integrodifferential evolution equations
Copyright policy )Mild solutions of non‐Lipschitz stochastic integrodifferential evolution equations
In this work, we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations under local non‐Lipschitz conditions on the coefficients. Our analysis makes use of the theory of resolvent operators as developed by R. Grimmer as well as a stopping time technique. Our results complement and improve several earlier related works. An example is provided to illustrate the theoretical results. Copyright © 2016 John Wiley & Sons, Ltd.
- University of Seville Spain
- Gaston Berger University Senegal
Stochastic partial differential equations (aspects of stochastic analysis), mild solutions, local non-Lipschitz condition, \(C_{0}\)-semigroup, stochastic partial integrodifferential evolution equations, Second-order parabolic systems, resolvent operators
Stochastic partial differential equations (aspects of stochastic analysis), mild solutions, local non-Lipschitz condition, \(C_{0}\)-semigroup, stochastic partial integrodifferential evolution equations, Second-order parabolic systems, resolvent operators
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