AbstractWe further investigate relations between dispersive effects (like the Morawetz inequality) for various classical equations: Schrödinger, Dirac, and wave equations. After Wigner transform, these dispersive estimates are reduced to moment lemmas for kinetic equations. They yield new results for the Schrödinger (valid up to the semiclassical limit), wave, and Dirac equations; radial pseudo-differential operators; and also kinetic equations
We report on recent results and a new line of research at the crossroad of two major theories in the...
Strichartz estimates are an important tool to understand nonlinear Schrödinger equa-tions [6, 10, 1...
21 pages. Statement of Lemma 3.2 changed. Proof of Lemma 3.2 modified accordingly.This paper is dedi...
AbstractWe further investigate relations between dispersive effects (like the Morawetz inequality) f...
Our aim in this work is to give some quantitative insight on the dispersive effects exhibited by sol...
We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. We also ...
International audienceAveraging lemmas consist in a regularizing effect on the average of the soluti...
This dissertation is constituted of two main parts and establishes a new approach in the study of th...
We prove some new Strichartz estimates for a class of dispersive equations with radial initial data....
The first part of the book provides an introduction to key tools and techniques in dispersive equati...
We study a semi-classical Schrödinger equation which describes the dynamics of an electron in a crys...
In this paper we analyze the dispersion for one dimensional wave and Schrödinger equations with BV c...
We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. We also ...
The aim of this article is to provide a new method to prove global smoothing estimates for dispersiv...
Abstract. Arguably the star in the family of dispersive equations is the Schrödinger equation. Amon...
We report on recent results and a new line of research at the crossroad of two major theories in the...
Strichartz estimates are an important tool to understand nonlinear Schrödinger equa-tions [6, 10, 1...
21 pages. Statement of Lemma 3.2 changed. Proof of Lemma 3.2 modified accordingly.This paper is dedi...
AbstractWe further investigate relations between dispersive effects (like the Morawetz inequality) f...
Our aim in this work is to give some quantitative insight on the dispersive effects exhibited by sol...
We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. We also ...
International audienceAveraging lemmas consist in a regularizing effect on the average of the soluti...
This dissertation is constituted of two main parts and establishes a new approach in the study of th...
We prove some new Strichartz estimates for a class of dispersive equations with radial initial data....
The first part of the book provides an introduction to key tools and techniques in dispersive equati...
We study a semi-classical Schrödinger equation which describes the dynamics of an electron in a crys...
In this paper we analyze the dispersion for one dimensional wave and Schrödinger equations with BV c...
We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. We also ...
The aim of this article is to provide a new method to prove global smoothing estimates for dispersiv...
Abstract. Arguably the star in the family of dispersive equations is the Schrödinger equation. Amon...
We report on recent results and a new line of research at the crossroad of two major theories in the...
Strichartz estimates are an important tool to understand nonlinear Schrödinger equa-tions [6, 10, 1...
21 pages. Statement of Lemma 3.2 changed. Proof of Lemma 3.2 modified accordingly.This paper is dedi...
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