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Displaying 21 – 40 of 67

Integration of Monge-Ampère equations and surfaces with negative gaussian curvature

Ha Tien Ngoan, Dexing Kong, Mikio Tsuji (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Interactions totalement non linéaires

Jean-Yves Chemin (1987)

Journées équations aux dérivées partielles

$L^{p} - L^{q}$ estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. III

Michael Cowling, Saverio Giulini, Stefano Meda (2001)

Annales de l’institut Fourier

Let $X$ be a symmetric space of the noncompact type, with Laplace–Beltrami operator $- ℒ$ , and let $[b, \infty)$ be the $L^{2} (X)$ -spectrum of $ℒ$ . For $τ$ in $ℂ$ such that $Re τ \geq 0$ , let $𝒫_{τ}$ be the operator on $L^{2} (X)$ defined formally as $\exp (- τ {(ℒ - b)}^{1 / 2})$ . In this paper, we obtain $L^{p} - L^{q}$ operator norm estimates for $𝒫_{τ}$ for all $τ$ , and show that these are optimal when $τ$ is small and when $| \arg τ |$ is bounded below $π / 2$ .

L’effet Hawking

Alain Bachelot (1997/1998)

Séminaire Équations aux dérivées partielles

Les singularités des fonctions spectrales sur une variété riemannienne infiniment aplatie

J. Harthong (1979/1980)

Séminaire Équations aux dérivées partielles (Polytechnique)

Local energy decay for several evolution equations on asymptotically euclidean manifolds

Jean-François Bony, Dietrich Häfner (2012)

Annales scientifiques de l'École Normale Supérieure

Let $P$ be a long range metric perturbation of the Euclidean Laplacian on $ℝ^{d}$ , $d \geq 2$ . We prove local energy decay for the solutions of the wave, Klein-Gordon and Schrödinger equations associated to $P$ . The problem is decomposed in a low and high frequency analysis. For the high energy part, we assume a non trapping condition. For low (resp. high) frequencies we obtain a general result about the local energy decay for the group $e^{i t f (P)}$ where $f$ has a suitable development at zero (resp. infinity).

Local energy decay of solutions to the wave equation for nontrapping metrics

Georgi Vodev (2002/2003)

Séminaire Équations aux dérivées partielles

Moments and Huygens' principle for conformally invariant field equations in curved space-times

V. Wünsch (1994)

Annales de l'I.H.P. Physique théorique

On contact equivalence of holomorphic Monge-Ampére equations.

Tunitsky, D.V. (1999)

Lobachevskii Journal of Mathematics

On equivariant harmonic maps defined on a Lorentz manifold

Ma Li (1991)

Annales de l'institut Fourier

In this paper, we prove by using the minimax principle that there exist infinitely many $G$ -equivariant harmonic maps from a specific Lorentz manifold to a compact Riemannian manifold.

On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold

Camille Laurent (2011)

Journées Équations aux dérivées partielles

We study the internal stabilization and control of the critical nonlinear Klein-Gordon equation on 3-D compact manifolds. Under a geometric assumption slightly stronger than the classical geometric control condition, we prove exponential decay for some solutions bounded in the energy space but small in a lower norm. The proof combines profile decomposition and microlocal arguments. This profile decomposition, analogous to the one of Bahouri-Gérard [2] on $ℝ^{3}$ , is performed by taking care of possible...

On the $C^{\infty}$ -singularities of regular holonomic distributions

Emmanuel Andronikof (1992)

Annales de l'institut Fourier

The analytic and $𝒞^{\infty}$ wave-front sets of a distribution which is a solution of a regular holonomic differential system are shown to coincide. More generally, we give comparison theorems for solutions of a regular holonomic system of microdifferential equations in various spaces of microfunctions, as a simple extension of a result of Kashiwara.

On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations [Book]

Aurore Cabet, Piotr T. Chruściel, Roger Tagne Wafo (2016)

Currently displaying 21 – 40 of 67