The stability of traveling waves for Allen–Cahn equations with fractional Laplacian
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Publication:5862278
DOI10.1080/00036811.2020.1738399zbMath1484.35109OpenAlexW3010891801MaRDI QIDQ5862278
Publication date: 7 March 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1738399
Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06) Integral operators (47G10) Traveling wave solutions (35C07) Fractional partial differential equations (35R11)
Cites Work
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- Multidimensional stability of planar traveling waves for the scalar nonlocal Allen-Cahn equation
- Traveling curved fronts in monotone bistable systems
- Traveling wave solutions to some reaction diffusion equations with fractional Laplacians
- Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian
- Traveling waves for a bistable equation with nonlocal diffusion
- Stability of traveling wave fronts for nonlocal diffusion equation with delayed nonlocal response
- Existence and global stability of traveling curved fronts in the Allen-Cahn equations
- On the speed of spread for fractional reaction-diffusion equations
- Large time behavior of disturbed planar fronts in the Allen-Cahn equation
- Nontrivial large-time behaviour in bistable reaction-diffusion equations
- Asymptotic properties and classification of bistable fronts with Lipschitz level sets
- Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations
- Global stability of traveling curved fronts in the Allen-Cahn equations
- Front-type solutions of fractional Allen-Cahn equation
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
- Traveling waves in a convolution model for phase transitions
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen--Cahn equation.
- Global asymptotic stability of traveling waves to the Allen-Cahn equation with a fractional Laplacian
- Multidimensional stability of disturbed pyramidal traveling fronts in the Allen-Cahn equation
- Existence and asymptotic stability of traveling fronts for nonlocal monostable evolution equations
- The influence of fractional diffusion in Fisher-KPP equations
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- Traveling waves with paraboloid like interfaces for balanced bistable dynamics
- Existence and qualitative properties of multidimensional conical bistable fronts
- Multi-dimensional pyramidal travelling fronts in the Allen–Cahn equations
- The Existence of Travelling Wave Solutions of a Generalized Phase-Field Model
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Stability of Planar Waves in the Allen–Cahn Equation
- Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, I
- The stability of the equilibria of the Allen–Cahn equation with fractional diffusion
- Spectral analysis of traveling waves for nonlocal evolution equations
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
- Layer solutions in a half‐space for boundary reactions