68 citations · 351 across the 40 of their papers we have counts for
10 papers · 1 filter
Contractivity of Rudin's diagonal restriction operator for of the polydisc
Ole Fredrik Brevig, Javier Gómez-Serrano, Joaquim Ortega-Cerdà +1
We establish that Rudin's diagonal restriction operator is contractive from the Hardy space of the bidisc to the Bergman space of the disc for , and cha…
Counterexamples to Grad's conjecture
Javier Gómez-Serrano, Lukas Liehr, Mitchell A. Taylor
For each sufficiently large , we construct smooth solutions of the magnetohydrostatic equations on embedded solid tori whose regular pressure levels are nested tori, whose magne…
Blow-up for energy supercritical defocusing nonlinear Schrödinger equations in dimensions three, four and five
Kevin Buck, Alvaro Carballeira, Javier Gómez-Serrano +1
We prove finite time blow-up from smooth, radial, compactly supported initial data for the energy supercritical defocusing nonlinear Schrödinger equation $i\partial_tu+Δu-|u|^{p-1}…
Double-wells in a strong magnetic field: absence of tunneling for infinitely many values of the coupling constant
Kevin Buck, Charles L. Fefferman, Javier Gómez-Serrano +3
We prove the fixed-potential conjecture of Fefferman, Shapiro, and Weinstein for inversion-symmetric magnetic double wells. We construct a number and one smooth, compactly…
An isoperimetric problem for Fourier zeros of centrally symmetric convex bodies
Javier Gómez-Serrano, Michael Levitin, Daniel Platt +1
Given a centrally symmetric convex body, consider the zero set of the Fourier transform of its characteristic function. We study how large the distance from this set to the origin…
On The Eaton-Moretó Conjecture for Principal Blocks of Finite Groups
Asier Arranz, Javier Gómez-Serrano, Gabriel Navarro +1
Let be a finite group and let be a prime. If is a nonabelian Sylow -subgroup of and is the smallest non-linear irreducible character degree of , we pro…
The energy of fractional Allen--Cahn layers in dimension one
Alvaro Carballeira, Damien Galant, Javier Gómez-Serrano
We study the energy of the one-dimensional fractional Allen--Cahn layer solution , defined as the unique odd, increasing solution of $(-Δ)^{s} Φ…
Linear instability of a Burgers--Hilbert traveling wave
Ángel Castro, Javier Gómez-Serrano, Miguel M. G. Pascual-Caballo
We study the stability of traveling wave solutions to the Burgers--Hilbert equation on in the regime of small frequency and large wave speed . For and $c…
Nested nodal loops of biharmonic functions
Javier Gómez-Serrano, Robert Koirala, Alexander Logunov
Given any \(n\in\mathbb{N}\), we construct a real-valued biharmonic polynomial on \(\mathbb{R}^2\) whose zero set contains a nest of \(n\) smooth, disjoint topological loops, meani…
Monotonicity of the first Dirichlet eigenvalue of regular polygons
Joel Dahne, Javier Gómez-Serrano, Joana Pech-Alberich
In this paper we prove that the first Dirichlet eigenvalue of an -sided regular polygon of fixed area is a monotonically decreasing function of for all , a…