Results 1 to 10 of about 858 (26)
Analytic aspects of the Toda system: I. A Moser-Trudinger inequality [PDF]
arXiv, 2000 We analyze solutions of the Toda system and establish an optimal Moser-Trudinger ...
arxiv
Schrodinger Operators with Purely Discrete Spectrum [PDF]
arXiv, 2008 We prove $-\Delta +V$ has purely discrete spectrum if $V\geq 0$ and, for all $M$, $|\{x\mid V(x)
arxiv
On the Schrodinger maximal function in higher dimension [PDF]
arXiv, 2012 New estimates on the maximal function associated to the linear Schrodinger equation are ...
arxiv
Elementary linear algebra for advanced spectral problems [PDF]
arXiv, 2003 We discuss the general method of Grushin problems, closely related to Shur complements, Feshbach projections and effective Hamiltonians, and describe various appearances in spectral theory, pdes, mathematical physics and numerical problems.
arxiv
Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials [PDF]
Amer. J. Math. 128 (2006) 731-750., 2004 We prove L^1 --> L^\infty estimates for the linear Schroedinger equation in three dimensions. The potential is assumed to belong to certain L^p spaces, but no pointwise decay estimates and no additional regularity is required.
arxiv
Dispersive estimates for Schroedinger operators: A survey [PDF]
arXiv, 2005 We present some old and new results on dispersive estimates for Schroedinger equations.
arxiv
Solutions for Toda systems on Riemann surfaces [PDF]
arXiv, 2005 In this paper, we study the solutions of Toda systems on Riemann surface in the critical case, we prove a sufficient condition for the existence of solutions of Toda systems.
arxiv
The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domains [PDF]
arXiv, 2006 In this paper we prove the smoothing effect for solutions of Schr{\"o}dinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials at infinity.
arxiv
Analyticity of the density of electronic wavefunctions [PDF]
Ark. Math. 42 (2004), 87-106, 2002 We prove that the electronic densities of atomic and molecular eigenfunctions are real analytic in ${\mathbb R}^3$ away from the nuclei.
arxiv
Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class [PDF]
arXiv, 2008 We discuss the microlocal Gevrey smoothing effect for the Schr\"odinger equation with variable coefficients via the propagation property of the wave front set of homogenous type. We apply the microlocal exponential estimates in a Gevrey case to prove our result.
arxiv