Well-posedness of the obstacle problem for stochastic nonlinear diffusion equations: an entropy formulation
| Autor: | Du, Kai, Liu, Ruoyang |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we establish the existence, uniqueness and stability results for the obstacle problem associated with a degenerate nonlinear diffusion equation perturbed by conservative gradient noise. Our approach revolves round introducing a new entropy formulation for stochastic variational inequalities. As a consequence, we obtain a novel well-posedness result for the obstacle problem of deterministic porous medium equations with nonlinear reaction terms. Comment: 36 pages |
| Databáze: | arXiv |
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