Convergence to higher-energy stationary solutions of a bistable equation with non-smooth reaction term

DOI10.1007/s00033-017-0809-5zbMath1386.35175OpenAlexW2619439981MaRDI QIDQ2402775

Pavel Drábek, Stephen B. Robinson

Publication date: 14 September 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0809-5

zbMATH Keywords

basin of attractionbistable equationdouble-well potential long-time behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Semilinear parabolic equations (35K58)

Related Items (1)

On a generalized Cahn-Hilliard model with \(p\)-Laplacian

Cites Work

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• Continua of local minimizers in a quasilinear model of phase transitions
• Equilibria with many nuclei for the Cahn-Hilliard equation
• Slow dynamics for the cahn-hilliard equation in higher space dimension part i: spectral estimates^∗
• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)

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