4 papers
Logarithmic Bramson correction for Fisher--KPP equations on homogeneous trees
Edagardo Álvarez, Marina Murillo-Arcila, Rodrigo Ponce +1
In this paper, we study the Fisher--KPP equation \[ \partial_t u = αΔ_{\TT_{q+1}}u+βu(1-u), \] on the homogeneous \((q+1)\)-regular tree \(\TT_{q+1}\), with \(q\geq2\), for nontriv…
Well-posedness of stochastic time-nonlocal telegraph equations with Hölder diffusion coefficient: hereditary phase-space lifting and novel generalized coupling method
Xi Huang, Li Peng, Juan Carlos Pozo +1
We consider the initial-boundary value problem for the stochastic time-nonlocal telegraph equation with -type kernel : \begin{align*} γ\partial_t \le…
Random data Cauchy theory for fully nonlocal telegraph equations
Xi Huang, Li Peng, Juan Carlos Pozo +1
We consider the random Cauchy problem for the fully nonlocal telegraph equation of power type with the general type kernel . This equation can effect…
Asymptotic behavior of the fundamental solution of space-time fractional equations with a reaction term
Luciano Abadías, Claudio Carrasco, Juan C. Pozo
In this paper, we consider a space-time fractional partial differential equation with a reactive term. We describe the speed of invasion of its fundamental solution, extending rece…