期刊论文详细信息
Advances in Nonlinear Analysis | |
On the Cauchy problem of a degenerate parabolic-hyperbolic PDE with Lévy noise | |
article | |
Imran H. Biswas1  Ananta K. Majee2  Guy Vallet3  | |
[1] Centre for Applicable Mathematics, Tata Institute of Fundamental Research, GKVK Post Office;Mathematisches Institut, Universität Tübingen;Université de Pau & Pays de l’Adour – LMAP UMR – CNRS 5142 | |
关键词: Stochastic PDEs; Lévy noise; degenerate parabolic equations; entropy solutions; Young measures; | |
DOI : 10.1515/anona-2017-0113 | |
学科分类:社会科学、人文和艺术(综合) | |
来源: De Gruyter | |
【 摘 要 】
In this article, we deal with the stochastic perturbation of degenerate parabolic partial differential equations (PDEs). The particular emphasis is on analyzing the effects of a multiplicative Lévy noise on such problems and on establishing a well-posedness theory by developing a suitable weak entropy solution framework. The proof of the existence of a solution is based on the vanishing viscosity technique. The uniqueness of the solution is settled by interpreting Kruzhkov’s doubling technique in the presence of a noise.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202107200000657ZK.pdf | 909KB | download |