On Well-posedness of Stochastic Anisotropic p-Laplace Equation Driven by Lévy Noise

2018/11/19 by Neelima, Neelima Neelima
Computer Science · Economics, Econometrics and Finance · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Anisotropy #Applied mathematics #Class (philosophy) #Computer science #Image (mathematics) #Laplace transform #Laplace's equation #Mathematical analysis #Mathematics #Noise (video) #Partial differential equation #Physics #Stability and Controllability of Differential Equations #Stochastic differential equation #Stochastic partial differential equation #Stochastic processes and financial applications #math.PR #msc:47J35 #msc:60H15 #msc:65M60

paper · pdf · doi:10.1007/s11118-021-09930-3

published as Potential Analysis 2021 · 28 pages. arXiv admin note: text overlap with arXiv:1610.05700

arxiv created 2018/11/19 · openalex created_date 2018/11/29 · openalex publication_date 2021/06/25 · arxiv updated 2022/02/08 · openalex updated_date 2026/08/05

Abstract

In this article, well-posedness of stochastic anisotropic p-Laplace equation driven by Lévy noise is shown. Such an equation in deterministic setting was considered by Lions [7]. The results obtained in this article can be applied to solve a large class of semilinear and quasilinear stochastic partial differential equations.

Citations

• Coercivity condition for higher order moments for nonlinear SPDEs and existence of solution under local monotonicity
• Nonlinear Partial Differential Equations with Applications
• Continuous Martingales and Brownian Motion
• SPDE in Hilbert space with locally monotone coefficients