Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 452, Issue 1, Pages 595-610Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2017.03.018
Keywords
Stochastic PDE's; Monotone operators; Super-fast diffusion
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Funding
- Romanian National Authority for Scientific Research, CNCS-UEFISCDI (Romania) [PN-II-RU-PD-2012-3-0240]
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In this paper we prove an existence and uniqueness result for the stochastic porous media equation with very singular diffusion and multiplicative noise, by using monotonicity techniques. The multiplicative Gaussian noise is essential in the proof of existence. (C) 2017 Elsevier Inc. All rights reserved.
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