38 citations
- Brown UniversityUS2 papers
- Laboratoire de Mathématiques Jean LerayFR2 papers
- University of TorontoCA2 papers
- Analyse, Géométrie et ModélisationFR1 paper
- Bouygues (France)FR1 paper
- Centre de Mathématiques Laurent SchwartzFR1 paper
- Cornell UniversityUS1 paper
- Czech Academy of Sciences, Institute of MathematicsCZ1 paper
- Eötvös Loránd UniversityHU1 paper
- Friedrich-Alexander-Universität Erlangen-NürnbergDE1 paper
- Hokkaido UniversityJP1 paper
- Imperial College LondonGB1 paper
6 papers · 1 filter
Quantitative uniqueness for second order elliptic operators with strongly singular coefficients
Ching-Lung Lin, Gen Nakamura, Jenn-Nan Wang
In this paper we study the local behavior of a solution to second order elliptic operators with sharp singular coefficients in lower order terms. One of the main results is the bou…
Resolvent and scattering matrix at the maximum of the potential
Ivana Alexandrova, Jean-Francois Bony, Thierry Ramond
We study the microlocal structure of the resolvent of the semi-classical Schrodinger operator with short range potential at an energy which is a unique non-degenerate global maximu…
On the Green's matrices of strongly parabolic systems of second order
Sungwon Cho, Hongjie Dong, Seick Kim
We establish existence and various estimates of fundamental matrices and Green's matrices for divergence form, second order strongly parabolic systems in arbitrary cylindrical doma…
Resolvent at low energy and Riesz transform for Schroedinger operators on asymptotically conic manifolds. II
Colin Guillarmou, Andrew Hassell
Let be an asymptotically conic manifold, in the sense that compactifies to a manifold with boundary in such a way that becomes a scattering metric…
Riesz transform and cohomology for manifolds with Euclidean ends
Gilles Carron, Thierry Coulhon, Andrew Hassell
Let be a smooth Riemannian manifold which is the union of a compact part and a finite number of Euclidean ends, $\RR^n \setminus B(0,R)$ for some , each of which carries…
A Sharp Decay Estimate for Positive Nonlinear Waves
Alberto Bressan, Tong Yang
We consider a strictly hyperbolic, genuinely nonlinear system of conservation laws in one space dimension. A sharp decay estimate is proved for the positive waves in an entropy wea…