On stability of traveling wave solutions for integro-differential equations related to branching Markov processes
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Publication:2295036
DOI10.3150/19-BEJ1159zbMath1466.60180arXiv1808.00411MaRDI QIDQ2295036
Publication date: 12 February 2020
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.00411
Stability in context of PDEs (35B35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)
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Cites Work
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- Convergence in law of the minimum of a branching random walk
- Branching Brownian motion seen from its tip
- Convergence in law of the maximum of nonlattice branching random walk
- A branching random walk seen from the tip
- Semigroup approach to birth-and-death stochastic dynamics in continuum
- An exactly solvable travelling wave equation in the Fisher-KPP class
- Nonlocal anisotropic dispersal with monostable nonlinearity
- On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov
- A conditional limit theorem for the frontier of a branching Brownian motion
- The behavior of solutions of some non-linear diffusion equations for large time
- Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
- Propagation speed of travelling fronts in non local reaction-diffusion equations
- A microscopic probabilistic description of a locally regulated population and macroscopic approximations
- A short proof of the logarithmic Bramson correction in Fisher-KPP equations
- Convergence to a single wave in the Fisher-KPP equation
- Branching Markov processes. I
- Branching Markov processes. II
- Branching Markov processes. III
- Doubly nonlocal Fisher-KPP equation: speeds and uniqueness of traveling waves
- A necessary and sufficient condition for the nontrivial limit of the derivative martingale in a branching random walk
- Convergence of solutions of the Kolmogorov equation to travelling waves
- Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
- Exact solution and precise asymptotics of a Fisher–KPP type front
- Possible velocities for a simple epidemic
- Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
