Document Type
Article
Publication Date
9-2017
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.
DOI
10.1002/mana.201600015
Source Publication
Mathematische Nachrichten
Recommended Citation
Mohan, M. T., & Sritharan, S. S. (2017). Stochastic quasilinear evolution equations in UMD Banach spaces. Mathematische Nachrichten, 290(13), 1971–1990. https://doi.org/10.1002/mana.201600015
Comments
This record sources the open access CHORUS-furnished accepted manuscript (post-print) version of the article. A 12-month embargo was observed for this posting in accordance with the publisher and the research funding body.
The publisher version of record is a subscription-access article, appearing as cited below in volume 290 of Mathematische Nachrichten, hosted at Wiley. Readers outside of AFIT will need to access the article through their own digital subscription to that periodical.
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