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Displaying 61 – 80 of 247

Free decay of solutions to wave equations on a curved background

Serge Alinhac (2005)

Bulletin de la Société Mathématique de France

We investigate for which metric $g$ (close to the standard metric $g_{0}$ ) the solutions of the corresponding d’Alembertian behave like free solutions of the standard wave equation. We give rather weak (i.e., non integrable) decay conditions on $g - g_{0}$ ; in particular, $g - g_{0}$ decays like $t^{- \frac{1}{2} - ε}$ along wave cones.

Geometry of stationary sets for the wave equation in $ℝ^{n}$ . The case of finitely supported initial data: An announcement.

Agranovsky, Mark L., Quinto, Eric Todd (2001)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions.

Tohru Ozawa, Y. Tsutsumi, K. Tsutaya (1996)

Mathematische Zeitschrift

Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation.

Benaissa, Abbès, Mokeddem, Soufiane (2004)

Abstract and Applied Analysis

Global existence for quasi-linear dissipative hyperbolic equations with large data and small parameter

Albert J. Milani (1990)

Czechoslovak Mathematical Journal

Global existence of low regularity solutions of non-linear wave equations.

Vladimir Georgiev, Pedro P. Schirmer (1995)

Mathematische Zeitschrift

Global infinite energy solutions of the critical semilinear wave equation.

P. Germain (2008)

Revista Matemática Iberoamericana

Global solutions to some nonlinear dissipative mildly degenerate Kirchhoff equations.

Ghisi, Marina (2003)

Portugaliae Mathematica. Nova Série

Global solvability for the degenerate Kirchhoff equation

Fumihiko Hirosawa (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Global Strichartz estimates for variable coefficient second order hyperbolic operators

Daniel Tataru (1999/2000)

Séminaire Équations aux dérivées partielles

Global well-posedness for two-dimensional semilinear wave equations.

Fonseca, Germán E. (2000)

Revista Colombiana de Matemáticas

Green's formula for right invertible operators

D. Przeworska-Rolewicz (1983)

Annales Polonici Mathematici

High order accurate two-step approximations for hyperbolic equations

Garth A. Baker, Vassilios A. Dougalis, Steven M. Serbin (1979)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Huygens' principle on Petrov type N space-times

V. Wünsch (1994)

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

Hyperbolic differential-operator equations on a whole axis.

Yakubov, Yakov (2004)

Abstract and Applied Analysis

Hyperbolic Equations in Uniform Spaces

J. W. Cholewa, Tomasz Dlotko (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

The paper is devoted to the Cauchy problem for a semilinear damped wave equation in the whole of ℝ ⁿ. Under suitable assumptions a bounded dissipative semigroup of global solutions is constructed in a locally uniform space $H ̇ ¹_{l u} (ℝ ⁿ) \times L ̇ ²_{l u} (ℝ ⁿ)$ . Asymptotic compactness of this semigroup and the existence of a global attractor are then shown.

Currently displaying 61 – 80 of 247

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