output
19982026
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations

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Showing 2021 · math.APShow all

5 papers · 2 filters

math.AP2021★ 7 cited

Global well-posedness of Vlasov-Poisson-type systems in bounded domains

Ludovic Cesbron, Mikaela Iacobelli

In this paper we prove global existence of classical solutions to the Vlasov-Poisson and the ionic Vlasov-Poisson models in bounded domains. On the boundary, we consider the specul…

math.AP2021★ 8 cited

Dynamical residues of Lorentzian spectral zeta functions

Nguyen Viet Dang, Michał Wrochna

We define a dynamical residue which generalizes the Guillemin-Wodzicki residue density of pseudo-differential operators. More precisely, given a Schwartz kernel, the definition ref…

math.AP2021★ 1 cited

Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries

Mitsuo Higaki, Christophe Prange, Jinping Zhuge

In this paper we address the large-scale regularity theory for the stationary Navier-Stokes equations in highly oscillating bumpy John domains. These domains are very rough, possib…

math.AP2021

Exponential localization of Steklov eigenfunctions on warped product manifolds: the flea on the elephant phenomenon

Thierry Daudé, Bernard Helffer, François Nicoleau

This paper is devoted to the analysis of Steklov eigenvalues and Steklov eigenfunctions on a class of warped product Riemannian manifolds whose boundary consis…

math.AP2021★ 30 cited

Soliton resolution for critical co-rotational wave maps and radial cubic wave equation

Thomas Duyckaerts, Carlos Kenig, Yvan Martel +1

In this paper we prove the soliton resolution conjecture for all times, for all solutions in the energy space, of the co-rotational wave map equation. To our knowledge this is the…