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math.AP2026
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…
math.AP2019
Convergence of solutions of discrete semi-linear space-time fractional evolution equations
Harbir Antil, Carlos Lizama, Rodrigo Ponce +1
Let be the realization of the fractional Laplace operator on the space of continuous functions , and let denote the discrete fractional Lapla…
math.AP2016
Asymptotic behavior and representation of solutions to a Volterra kind of equation with a singular kernel
Rodrigo Ponce, Mahamadi Warma
Let be a densely defined closed, linear -sectorial operator of angle on a Banach space for some . We give an explicit representation…