Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
By Viorel Barbu, Giuseppe Da Prato, Michael Röckner. 2007
112 citations recorded by the source corpus.
This paper addresses existence and uniqueness of strong solutions to stochastic porous media equations dX ( X)dt = B(X)dW (t) in bounded domains of R d with Dirichlet boundary conditions. Here is a maximal monotone graph in R R (possibly multivalued) with
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/e79eeb0bc98e3a8f8c9b13760ec5be5ec1f9b27b
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In Applied Mathematics
- Wei Liu
- Benjamin Gess
- Michael Röckner
- Wei David Liu
- M. Roeckner
- Panagiotis E. Souganidis
- Feng-Yu Wang
- Tusheng Zhang
In Computational Theory and Mathematics
- Wei Liu
- Michael Röckner
- Wei David Liu
- Benjamin Gess
- M. Roeckner
- Panagiotis E. Souganidis
- Tusheng Zhang
- Xicheng Zhang
In Control and Systems Engineering
- Wei Liu
- Michael Röckner
- Wei David Liu
- Benjamin Gess
- M. Roeckner
- Panagiotis E. Souganidis
- Bixiang Wang
- Tusheng Zhang
Citations in the corpus
- SPDE in Hilbert space with locally monotone coefficients (2010, background): “As one typical example of SPDE in this framework, the stochastic porous media equation has been extensively studied in [1, 2, 3, 4, 9, 31].”
- Random attractors for a class of stochastic partial differential equations driven by general additive noise (2010, background): “As a typical example of an SPDE in this framework stochastic porous media equations have been intensively investigated in [4, 5, 6, 7, 19, 27, 34, 36, 45].”
- Stochastic non-isotropic degenerate parabolic–hyperbolic equations (2016, background): “See, for example, Prévot and Röckner [40], Krylov and Rozovskĭı [26], Pardoux [37], Barbu, Da Prato and Röckner [1–3] and the references therein.”
- Martingale solutions and Markov selections for stochastic partial differential equations (2009, unknown): “in [12], [6], [19], [3], [4], [22], [20](see also [18]).”