7.7k citations
- Space Telescope Science InstituteUS138 papers
- University of ArizonaUS124 papers
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- Center for Astrophysics Harvard & SmithsonianUS102 papers
- Centre National de la Recherche ScientifiqueFR86 papers
- University of California, BerkeleyUS71 papers
- University of MichiganUS64 papers
- Oak Ridge National LaboratoryUS62 papers
- University of FloridaUS62 papers
- Jet Propulsion LaboratoryUS61 papers
- University of California, DavisUS61 papers
- University of Illinois Urbana-ChampaignUS61 papers
101 papers · 1 filter
Fourth order Saint-Venant inequalities: maximizing compliance and mean deflection among clamped plates
Mark Ashbaugh, Dorin Bucur, Richard S. Laugesen +1
We prove a fourth order analogue of the Saint-Venant inequality: the mean deflection of a clamped plate under uniform transverse load is maximal for the ball, among plates of presc…
Moser-Trudinger inequalities: from local to global
Luigi Fontana, Carlo Morpurgo, Liuyu Qin
Given a general complete Riemannian manifold , we introduce the concept of "local Moser-Trudinger inequality on ". We show how the validity of the Moser-Trudinger in…
Low energy scattering asymptotics for planar obstacles
T. J. Christiansen, K. Datchev
We compute low energy asymptotics for the resolvent of a planar obstacle, and deduce asymptotics for the corresponding scattering matrix, scattering phase, and exterior Dirichlet-t…
Rigidity of three-dimensional internal waves with constant vorticity
Robin Ming Chen, Lili Fan, Samuel Walsh +1
This paper studies the structural implications of constant vorticity for steady three-dimensional internal water waves. It is known that in many physical regimes, water waves benea…
Interpolation for analytic families of multilinear operators on metric measure spaces
Loukas Grafakos, El Maati Ouhabaz
Let (X j , d j , j), j = 0, 1,. .. , m be metric measure spaces. Given 0 < p for = 1,. .. , m and an analytic family of multilinear operators T z : L p 1…
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets
Simon Bortz, John Hoffman, Steve Hofmann +2
Let be a parabolic uniformly rectifiable set. We prove that every bounded solution to $$\partial_tu- Δu=0, \quad \text{in} \quad \mathbb R^{n+1}\set…