Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity

DOI10.1016/j.jde.2023.05.038zbMath1518.35442arXiv2209.14759MaRDI QIDQ6102678

Mark C. Veraar, Antonio Agresti

Publication date: 23 June 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.14759

zbMATH Keywords

stochastic partial differential equationspositivityreaction-diffusion equationslocal and global well-posednesscritical spacestransport noise

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Reaction-diffusion equations (35K57) PDEs with randomness, stochastic partial differential equations (35R60) Equations in function spaces; evolution equations (58D25) Blow-up in context of PDEs (35B44)

Related Items (3)

Sharp convex generalizations of stochastic Gronwall inequalities ⋮ Stochastic Navier-Stokes equations for turbulent flows in critical spaces ⋮ The critical variational setting for stochastic evolution equations

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