Entire solutions with and without radial symmetry in balanced bistable reaction-diffusion equations
From MaRDI portal
Publication:6624827
DOI10.1007/s00208-024-02844-6MaRDI QIDQ6624827
Publication date: 28 October 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Reaction-diffusion equations (35K57) Traveling wave solutions (35C07) Entire solutions to PDEs (35B08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ancient solutions of the mean curvature flow
- Existence and global stability of traveling curved fronts in the Allen-Cahn equations
- Convex solutions to the mean curvature flow
- On De Giorgi's conjecture in dimension \(N\geq 9\)
- Multi-dimensional traveling fronts in bistable reaction-diffusion equations
- Asymptotic properties and classification of bistable fronts with Lipschitz level sets
- Global stability of traveling curved fronts in the Allen-Cahn equations
- Classification of compact ancient solutions to the curve shortening flow
- The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations
- Generation and propagation of interfaces for reaction-diffusion equations
- Entire solutions and traveling wave solutions of the Allen-Cahn-Nagumo equation
- Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations
- Existence and uniqueness of entire solutions for a reaction-diffusion equation
- Backward global solutions characterizing annihilation dynamics of travelling fronts
- Some entire solutions of the Allen-Cahn equation
- Traveling front solutions in reaction-diffusion equations
- Traveling fronts in balanced bistable reaction-diffusion equations
- Uniqueness of two-convex closed ancient solutions to the mean curvature flow
- \(V\)-shaped fronts around an obstacle
- Entire solutions of the Allen-Cahn-Nagumo equation in a multi-dimensional space
- Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations
- Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations
- Traveling waves with paraboloid like interfaces for balanced bistable dynamics
- Corner defects in almost planar interface propagation
- Existence and qualitative properties of multidimensional conical bistable fronts
- Multi-dimensional pyramidal travelling fronts in the Allen–Cahn equations
- Bistable traveling waves around an obstacle
- Ancient multiple-layer solutions to the Allen–Cahn equation
- The nature of singularities in mean curvature flow of mean-convex sets
- Traveling Waves with Multiple and Nonconvex Fronts for a Bistable Semilinear Parabolic Equation
- An $(N-1)$-Dimensional Convex Compact Set Gives an $N$-Dimensional Traveling Front in the Allen--Cahn Equation
- Traveling Fronts of Pyramidal Shapes in the Allen–Cahn Equations
- Entire solutions of reaction—diffusion equations with balanced bistable nonlinearities
This page was built for publication: Entire solutions with and without radial symmetry in balanced bistable reaction-diffusion equations