Terrace Solutions for Non-Lipschitz Multistable Nonlinearities

DOI10.1137/21M1445430zbMath1496.35231arXiv2208.01505OpenAlexW4291596163MaRDI QIDQ5101330

Thomas Giletti, Yong-Jung Kim, Ho-Youn Kim

Publication date: 30 August 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.01505

zbMATH Keywords

reaction-diffusiontraveling wavesdiscontinuous reactionterrace solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Traveling wave solutions (35C07) Entire solutions to PDEs (35B08)

Related Items (1)

Convergence to a terrace solution in multistable reaction-diffusion equation with discontinuities

Cites Work

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• Bistable traveling waves for monotone semiflows with applications
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• Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
• Propagating Terraces and the Dynamics of Front-Like Solutions of Reaction-Diffusion Equations on ℝ
• Existence and uniqueness of propagating terraces
• Discontinuous Nonlinearity and Finite Time Extinction

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