Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications
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Beschreibung
Preface.- Notations and Abbreviations.- Introduction and Motivating Examples.- Mathematical machinery.- Yosida Approximations of Stochastic Differential Equations.- Yosida Approximations of Stochastic Differential Equations with Jumps.- Applications to Stochastic Stability.- Applications to Stochastic Optimal Control.- Appendix A: Nuclear and Hilbert-Schmidt Operators.- Appendix B: Multivalued Maps.- Appendix C: Maximal Monotone Operators.- Appendix D: The Duality Mapping.- Appendix E: Random Multivalued Operators.- Bibliographical Notes and Remarks.- Bibliography.
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