2.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidad Autónoma de MadridES618 papers
- Universidad Carlos III de MadridES550 papers
- Consejo Superior de Investigaciones CientíficasES480 papers
- Homi Bhabha National InstituteIN425 papers
- Universidad Complutense de MadridES350 papers
- Tata Institute of Fundamental ResearchIN132 papers
- Centre National de la Recherche ScientifiqueFR131 papers
- Indian Institute of Science BangaloreIN120 papers
- Indian Institute of Technology MadrasIN92 papers
- Chennai Mathematical InstituteIN82 papers
- Beijing Institute of Mathematical Sciences and Applications64 papers
- Harish-Chandra Research InstituteIN58 papers
11 papers · 2 filters
A note on stability shifting for the Muskat problem II: Stable to Unstable and back to Stable
Diego Córdoba, Javier Gómez-Serrano, Andrej Zlatoš
In this note, we show that there exist solutions of the Muskat problem which shift stability regimes in the following sense: they start stable, then become unstable, and finally re…
Instantaneous shrinking and single point extinction for viscous Hamilton-Jacobi equations with fast diffusion
Razvan Gabriel Iagar, Philippe Laurençot, Christian Stinner
For a large class of non-negative initial data, the solutions to the quasilinear viscous Hamilton-Jacobi equation in …
Singular integrals with angular integrability
Federico Cacciafesta, Renato Lucà
In this note we prove a class of sharp inequalities for singular integral operators in weighted Lebesgue spaces with angular integrability.
Uniformly rotating analytic global patch solutions for active scalars
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
We show that there exists a family of analytic convex global rotating solutions for the vortex patch equations, bifurcating from ellipses. As a byproduct, the analyticity proof can…
On polyharmonic regularizations of Hessian equations: Variational methods
Carlos Escudero
This work is devoted to the study of the boundary value problem \begin{eqnarray}\nonumber (-1)^αΔ^αu = (-1)^k S_k[u] + λf, \qquad x &\in& Ω\subset \mathbb{R}^N, \\ \nonumber u = \p…
Fractional discrete Laplacian versus discretized fractional Laplacian
Ó. Ciaurri, L. Roncal, P. R. Stinga +2
We define and study some properties of the fractional powers of the discrete Laplacian for and . A comparison b…
Maximum principles, extension problem and inversion for nonlocal one-sided equations
A. Bernardis, F. J. Martín-Reyes, P. R. Stinga +1
We study one-sided nonlocal equations of the form on the real line. Notice that to compute this nonlocal operator…
Large time behavior for a quasilinear diffusion equation with critical gradient absorption
Razvan Gabriel Iagar, Philippe Laurençot
We study the large time behavior of non-negative solutions to the nonlinear diffusion equation with critical gradient absorption $$\partial\_t u - Δ\_{p}u + |\nabla u|^{q\_*} = 0 \…
Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems
José M. Arrieta, Pier Domenico Lamberti
We study the spectral behavior of higher order elliptic operators upon domain perturbation. We prove general spectral stability results for Dirichlet, Neumann and intermediate boun…
A note on stability shifting for the Muskat problem
Diego Córdoba, Javier Gómez-Serrano, Andrej Zlatoš
In this note, we show that there exist solutions of the Muskat problem that shift stability regimes: they start unstable, then become stable, and finally return to the unstable reg…
On the regularity set and angular integrability for the Navier--Stokes equation
Piero D'Ancona, Renato Lucà
We investigate the size of the regular set for suitable weak solutions of the Navier--Stokes equation, in the sense of Caffarelli--Kohn--Nirenberg. We consider initial data in weig…