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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10664
Title: Stochastic quasilinear evolution equations in UMD Banach spaces
Authors: Mohan M.T.
Sritharan S.S.
Published in: Mathematische Nachrichten
Abstract: In this work we prove the existence and uniqueness up to a stopping time for the stochastic counterpart of Tosio Kato's quasilinear evolutions in UMD Banach spaces. These class of evolutions are known to cover a large class of physically important nonlinear partial differential equations. Existence of a unique maximal solution as well as an estimate on the probability of positivity of stopping time is obtained. An example of stochastic Euler and Navier–Stokes equation is also given as an application of abstract theory to concrete models. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Citation: Mathematische Nachrichten (2017), 290(13): 1971-1990
URI: https://doi.org/10.1002/mana.201600015
http://repository.iitr.ac.in/handle/123456789/10664
Issue Date: 2017
Publisher: Wiley-VCH Verlag
Keywords: 35Q35
35R15
37L05 60H15
60H309
mild solutions
Stochastic quasilinear evolution equation
UMD Banach spaces
γ-radonifying operators
ISSN: 0025584X
Author Scopus IDs: 54397249600
16220206800
Author Affiliations: Mohan, M.T., Department of Mathematics and Statistics, Air Force Institute of Technology, 2950 Hobson Way, Wright Patterson Air Force Base, OH 45433, United States
Sritharan, S.S., Office of the Vice Chancellor & Provost, Air Force Institute of Technology, 2950 Hobson Way, Wright Patterson Air Force Base, OH 45433, United States
Funding Details: Acknowledgements Manil T. Mohan would like to thank Air Force Office of Scientific Research (AFOSR) and National Research Council (NRC) for Research Associateship Award. S. S. Sritharan’s work has been funded by U. S. Army Research Office, Probability and Statistics program. Manil T. Mohan would like to thank Air Force Institute of Technology (AFIT) for providing stimulating scientific environment and resources. The authors would also like to thank the anonymous reviewers for their useful and valuable comments and suggestions which led to the improvement of this paper.
Corresponding Author: Sritharan, S.S.; Office of the Vice Chancellor & Provost, Air Force Institute of Technology, 2950 Hobson Way, United States; email: sivaguru.sritharan@afit.edu
Appears in Collections:Journal Publications [MA]

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