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Quasilinear parabolic stochastic partial differential equations: Existence, uniqueness

Quasilinear parabolic stochastic partial differential equations: existence, uniqueness
Authors: Hofmanová, Martina; Zhang, Tusheng;

Quasilinear parabolic stochastic partial differential equations: Existence, uniqueness

Abstract

In this paper, we provide a direct approach to the existence and uniqueness of strong (in the probabilistic sense) and weak (in the PDE sense) solutions to quasilinear stochastic partial differential equations, which are neither monotone nor locally monotone.

Keywords

Energy inequality, energy inequality, quasilinear stochastic partial differential equations, 510, Quasilinear stochastic partial differential equations, Large deviations, Mathematics - Analysis of PDEs, Stochastic partial differential equations (aspects of stochastic analysis), FOS: Mathematics, PDEs with randomness, stochastic partial differential equations, strong solutions, Strong solutions, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Top 10%
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bronze
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