Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE

From MaRDI portal
Publication:1800811

DOI10.1214/17-AOP1231zbMATH Open1428.60090arXiv1611.03600MaRDI QIDQ1800811

Author name not available (Why is that?)

Publication date: 24 October 2018

Published in: (Search for Journal in Brave)

Abstract: We study quasilinear degenerate parabolic-hyperbolic stochastic partial differential equations with general multiplicative noise within the framework of kinetic solutions. Our results are twofold: First, we establish new regularity results based on averaging techniques. Second, we prove the existence and uniqueness of solutions in a full L1 setting requiring no growth assumptions on the nonlinearities. In addition, we prove a comparison result and an L1-contraction property for the solutions.


Full work available at URL: https://arxiv.org/abs/1611.03600



No records found.


No records found.








This page was built for publication: Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1800811)