
arXiv: 1501.00548
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.
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)
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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