Reaction-diffusion equations in the half-space

Publication date: 21 March 2023

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/2007.13909

zbMATH Keywords

reaction-diffusion monostable conditional uniqueness spreading phenomena bistable reactions monostable reactions nonzero bounded steady state

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Traveling wave solutions (35C07)

Cites Work

Unnamed Item
Unnamed Item
The logarithmic delay of KPP fronts in a periodic medium
Travelling waves, spreading and extinction for Fisher-KPP propagation driven by a line with fast diffusion
Transition fronts in inhomogeneous Fisher-KPP reaction-diffusion equations
On De Giorgi's conjecture in dimension \(N\geq 9\)
The asymptotic behavior of the solutions of some semilinear elliptic equations in cylindrical domains
Existence and non-existence of Fisher-KPP transition fronts
Stability analysis for semilinear parabolic problems in general unbounded domains
Convergence and sharp thresholds for propagation in nonlinear diffusion problems
Front propagation in infinite cylinders. I: A variational approach
Traveling waves in a one-dimensional heterogeneous medium
The approach of solutions of nonlinear diffusion equations to travelling front solutions
Multidimensional nonlinear diffusion arising in population genetics
Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
The speed of propagation for KPP type problems. I: Periodic framework
Blocking and invasion for reaction-diffusion equations in periodic media
On spreading speeds and traveling waves for growth and migration models in a periodic habitat
Propagation speed for reaction-diffusion equations in general domains
A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type
The influence of a line with fast diffusion on Fisher-KPP propagation
Spreading in a cone for the Fisher-KPP equation
Existence and qualitative properties of multidimensional conical bistable fronts
Front blocking and propagation in cylinders with varying cross section
Nonplanar traveling fronts in reaction-diffusion equations with combustion and degenerate Fisher-KPP nonlinearities
Generalized fronts for one-dimensional reaction-diffusion equations
Fisher–KPP propagation in the presence of a line: further effects
Dynamics of nonnegative solutions of one-dimensional reaction–diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part II: Generic nonlinearities
The speed of propagation for KPP type problems. II: General domains
Bistable traveling waves around an obstacle
Convergence of solutions of the Kolmogorov equation to travelling waves
Location of Wave Fronts for the Multi-Dimensional K-P-P Equation and Brownian First Exit Densities
Maximal displacement of branching brownian motion
A Parabolic Equation of the KPP Type in Higher Dimensions
Front propagation in periodic excitable media
Stability of travelling waves in a model for conical flames in two space dimensions
Refined long-time asymptotics for Fisher–KPP fronts
Sharp transition between extinction and propagation of reaction
Precise asymptotics for Fisher–KPP fronts
Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts

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