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Displaying 1841 – 1860 of 2227

The FBI transform, operators with nonsmooth coefficients and the nonlinear wave equation

Daniel Tataru (1999)

Journées équations aux dérivées partielles

The aim of this work is threefold. First we set up a calculus for partial differential operators with nonsmooth coefficients which is based on the FBI (Fourier-Bros-Iagolnitzer) transform. Then, using this calculus, we prove a weaker version of the Strichartz estimates for second order hyperbolic equations with nonsmooth coefficients. Finally, we apply these new Strichartz estimates to second order nonlinear hyperbolic equations and improve the local theory, i.e. prove local well-posedness for initial...

The fictitious domain method for the mixed finite element approximation of the wave equation

Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo

The first boundary value problem for the vibrating string equation in domains with piecewise smooth boundary

A. Lyashenko (1992)

Banach Center Publications

The $(G^{'} / G)$ -expansion method for solving the combined and the double combined sinh-cosh-Gordon equations.

Kheiri, H., Jabbari, A. (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

The Gauss Map for Surfaces in 4-Space.

Joel L. Weiner (1984)

Mathematische Annalen

The geometric optics for a class of hyperbolic second order operators with Hölder continuous coefficients with respect to time

Massimo Cicognani (1991)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The geometrical quantity in damped wave equations on a square

Pascal Hébrard, Emmanuel Humbert (2006)

ESAIM: Control, Optimisation and Calculus of Variations

The energy in a square membrane Ω subject to constant viscous damping on a subset $ω \subset Ω$ decays exponentially in time as soon as ω satisfies a geometrical condition known as the “Bardos-Lebeau-Rauch” condition. The rate $τ (ω)$ of this decay satisfies $τ (ω) = 2 min (- μ (ω), g (ω))$ (see Lebeau [Math. Phys. Stud.19 (1996) 73–109]). Here $μ (ω)$ denotes the spectral abscissa of the damped wave equation operator and $g (ω)$ is a number called the geometrical quantity of ω and defined as follows. A ray in Ω is the trajectory generated by the free motion...

The Global Cauchy Problem for the Non Linear Klein-Gordon Equation.

J. Ginibre, G. Velo (1985)

Mathematische Zeitschrift

The global Cauchy problem for the non linear Klein-Gordon equation-II

J. Ginibre, G. Velo (1989)

Annales de l'I.H.P. Analyse non linéaire

The global solubility of problems of nonlinear vibrations of plates on nonlinear foundations.

А.М. Хлуднев (1981)

Sibirskij matematiceskij zurnal

The initial boundary value problem for the high order parabolic equation in unbounded domain.

Zarȩba, Lech (2004)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

The initial-boundary value problem for the non-barotropic compressible Euler equations : structural-stability and data dependence

H. Beirão da Veiga (1994)

Annales de l'I.H.P. Analyse non linéaire

The instability of naked singularities in the gravitational collapse of a scalar field.

Christodoulou, Demetrios (1999)

Annals of Mathematics. Second Series

The Leading Singularity of Scattering Kernel for a Transparent Obstacle.

Sönke Hansen (1987/1988)

Mathematische Annalen

The light in the neighborhood of a caustic

J. J. Duistermaat (1976/1977)

Séminaire Bourbaki

The linear symmetric systems associated with the modified Cherednik operators and applications

Hatem Mejjaoli (2012)

Annales mathématiques Blaise Pascal

We introduce and study the linear symmetric systems associated with the modified Cherednik operators. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite propagation speed property of it.

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