Rodrigo Ponce

activity

20132026

most citedOn the boundedness of generalized Cesàro operators on Sobolev spaces

3 citations · 3 across the 6 of their papers we have counts for

collaborators

7 papers

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.OC2025

Controllability problem of an evolution equation with singular memory

Sumit Arora, Rodrigo Ponce

This work addresses control problems governed by a semilinear evolution equation with singular memory kernel $κ (t) = α e^{- β t} \frac{t ^{ν - 1}}{Γ ( ν )}$ , where $α > 0, β \geq 0$ , and $0 < ν < 1$ .…

math.FA2023

Determination of the order in Abstract fractional differential equations

Rodrigo Ponce

In this paper we identify, for small $t$ and a fixed $T > 0,$ the order $α > 0$ in the abstract fractional differential equation $\partial^{α} u (t) = A u (t),$ where the time-fractional der…

math.FA2021

Explicit representation of discrete fractional resolvent families in Banach spaces

Jorge Gonzalez-Camus, Rodrigo Ponce

In this paper we introduce a discrete fractional resolvent family ${S_{α, β}^{n}}_{n \in N_{0}}$ generated by a closed linear operator in a Banach space $X$ for a given $α,β>0.…

math.AP2019

Convergence of solutions of discrete semi-linear space-time fractional evolution equations

Harbir Antil, Carlos Lizama, Rodrigo Ponce +1

Let $(- Δ)_{c}^{s}$ be the realization of the fractional Laplace operator on the space of continuous functions $C_{0} (R)$ , and let $(- Δ_{h})^{s}$ 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 $A$ be a densely defined closed, linear $ω$ -sectorial operator of angle $θ \in [0, \frac{π}{2})$ on a Banach space $X$ for some $ω \in R$ . We give an explicit representation…

math.FA2013★ 3 cited

On the boundedness of generalized Cesàro operators on Sobolev spaces

Carlos Lizama, Pedro J. Miana, Rodrigo Ponce +1

For $β > 0$ and $p \geq 1$ , the generalized Cesàro operator $C_{β} f (t) := \frac{β}{t ^{β}} \int_{0}^{t} (t - s)^{β - 1} f (s) d s$ and its companion operator $C_{β}^{*}$ defined on Sobol…