J. Torrea

activity

20062022

most citedOn the boundary convergence of solutions to the Hermite-Schrödinger equation

8 citations · 11 across the 6 of their papers we have counts for

collaborators

Showing math.APShow all

4 papers · 1 filter

math.AP2018

Hölder, Sobolev, weak-type and $B M O$ estimates in mixed-norm with weights for parabolic equations

P. R. Stinga, J. L. Torrea

We prove weighted mixed-norm $L_{t}^{q} (W_{x}^{2, p})$ and $L_{t}^{q} (C_{x}^{2, α})$ estimates for $1 < p, q < \infty$ and $0 < α < 1$ , weighted mixed weak-type estimates for $q = 1$ , $L^\infty_{t}(L^p_x)-…

math.AP2017

Schauder estimates for discrete fractional integrals

Luciano Abadias, Marta De León-Contreras, José L. Torrea

In this note we focus on the discrete fractional integrals as a natural continuation of our previous work about nonlocal fractional derivatives, discrete and continuous. We define…

math.AP2016

Non-local fractional derivatives. Discrete and continuous

Luciano Abadías, Marta de León-Contreras, José L. Torrea

We prove maximum and comparison principles for fractional discrete derivatives in the integers. Regularity results when the space is a mesh of length $h$ , and approximation theorem…

math.AP2009★ 8 cited

On the boundary convergence of solutions to the Hermite-Schrödinger equation

Peter Sjögren, J. L. Torrea

In the half-space $R^{d} \times R_{+}$ , we consider the Hermite-Schrödinger equation $i \partial u / \partial t = - Δ u + ∣ x ∣^{2} u$ , with given boundary values on $\mathbb…

Hölder, Sobolev, weak-type and BMO estimates in mixed-norm with weights for parabolic equations

Schauder estimates for discrete fractional integrals

Non-local fractional derivatives. Discrete and continuous

On the boundary convergence of solutions to the Hermite-Schrödinger equation

Hölder, Sobolev, weak-type and $B M O$ estimates in mixed-norm with weights for parabolic equations