P. Stinga

activity

20092026

C^{1, α}

interface transmission problems

27 citations · 117 across the 40 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.CA2018★ 10 cited

One-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces

P. R. Stinga, M. Vaughan

We characterize one-sided weighted Sobolev spaces $W^{1, p} (R, ω)$ , where $ω$ is a one-sided Sawyer weight, in terms of a.e.~and weighted $L^{p}$ limits as $α \to 1^{-}$ of Marcha…

math.AP2018★ 5 cited

User's guide to the fractional Laplacian and the method of semigroups

P. R. Stinga

The \textit{method of semigroups} is a unifying, widely applicable, general technique to formulate and analyze fundamental aspects of fractional powers of operators $L$ and their r…

math.AP2018★ 2 cited

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.AP2018★ 2 cited

Harnack inequalities and Hölder estimates for master equations

A. Biswas, M. De León-Contreras, P. R. Stinga

We study master equations of the form $(\partial_{t} + L)^{s} u = f in R \times Ω$ where $L$ is a divergence form elliptic operator and $Ω \subseteq R^{n}$ . These a…

One-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces

User's guide to the fractional Laplacian and the method of semigroups

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

Harnack inequalities and Hölder estimates for master equations

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