A dynamical approach to semilinear elliptic equations
DOI10.1016/j.anihpc.2020.08.001zbMath1459.35174arXiv1907.09986OpenAlexW3047636583MaRDI QIDQ2226513
Graham Cox, Margaret Beck, Christopher K. R. T. Jones, Alim Sukhtayev, Yuri Latushkin
Publication date: 8 February 2021
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.09986
Boundary value problems for second-order elliptic equations (35J25) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Semilinear elliptic equations (35J61) Methods of ordinary differential equations applied to PDEs (35A24)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable and unstable manifolds for hyperbolic bi-semigroups
- Existence of multidimensional travelling wave solutions of an initial boundary value problem
- Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves
- The dichotomy theorem for evolution bi-families
- Nonlinear stability of time-periodic viscous shocks
- Functional analysis, Sobolev spaces and partial differential equations
- A reduction principle for nonautonomous systems in infinite-dimensional spaces
- Locally invariant manifolds for quasilinear parabolic equations
- Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders
- The Maslov index and the spectra of second order elliptic operators
- A center-stable manifold theorem for differential equations in Banach spaces
- Wave-solutions of reversible systems and applications
- Spectral and dynamical stability of nonlinear waves
- The infinite dimensional Evans function
- An infinite-dimensional Evans function theory for elliptic boundary value problems
- Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel
- Evans functions for periodic waves on infinite cylindrical domains
- On the Structure of Spectra of Modulated Travelling Waves
- The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials
- Level Set Method for Motion by Mean Curvature
- Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems
- A Morse Index Theorem for Elliptic Operators on Bounded Domains
- The dynamics of modulated wave trains
- Reduction of quasilinear elliptic equations in cylindrical domains with applications
- Morse Theory. (AM-51)
- Radially symmetric patterns of reaction-diffusion systems
This page was built for publication: A dynamical approach to semilinear elliptic equations