On the KPZ equation with fractional diffusion: global regularity and existence results
DOI10.1016/j.jde.2021.12.016zbMath1481.35258arXiv1904.04593OpenAlexW4220945684MaRDI QIDQ2069178
Fernando Soria, A. R. M. Primo, Ireneo Peral Alonso, Boumediene Abdellaoui
Publication date: 20 January 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.04593
global regularityKardar-Parisi-Zhang equationfractional heat equationsgeneral comparison principlenonlinear term in the gradient
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear evolution equations (47J35) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Comparison principles in context of PDEs (35B51) Quasilinear parabolic equations (35K59)
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