Uniqueness of transverse solutions for reaction-diffusion equations with spatially distributed hysteresis

DOI10.1016/j.na.2012.08.003zbMath1252.35009arXiv1205.3521OpenAlexW1998982421MaRDI QIDQ714488

D. Kharzeev

Publication date: 11 October 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3521

zbMATH Keywords

hysteretic discontinuitynon-Lipschitz hysteresis branches

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Equations with nonlinear hysteresis operators (47J40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Well-posedness of the stochastic neural field equation with discontinuous firing rate ⋮ Free boundaries in problems with hysteresis ⋮ Periodic solutions to a class of biological diffusion models with hysteresis effect ⋮ Well-posedness of parabolic equations containing hysteresis with diffusive thresholds ⋮ Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller-Rubinow model ⋮ Spatially discrete reaction-diffusion equations with discontinuous hysteresis ⋮ Asymptotics of sign-changing patterns in hysteretic systems with diffusive thresholds ⋮ Well-posedness for a class of biological diffusion models with hysteresis effect

Cites Work

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• IRREVERSIBILITY AND HYSTERESIS FOR A FORWARD–BACKWARD DIFFUSION EQUATION
• Evolution Problems with Hysteresis in the Source Term

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