Three-dimensional Korteweg-de Vries equation and traveling wave solutions.
Jones, Kenneth L. (2000)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Micro-Local Analysis in Some Spaces of Ultradistributions”
Three-dimensional Korteweg-de Vries equation and traveling wave solutions.
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Vaidya, A., Sparling, A.J. (2003)
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V. Georgiev, K. Ianakiev (1992)
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The Cauchy problem for a short-wave equation.
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Wave fronts of solutions of some classes of non-linear partial differential equations
P. Popivanov (1992)
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1. This paper is devoted to the study of wave fronts of solutions of first order symmetric systems of non-linear partial differential equations. A short communication was published in [4]. The microlocal point of view enables us to obtain more precise information concerning the smoothness of solutions of symmetric hyperbolic systems. Our main result is a generalization to the non-linear case of Theorem 1.1 of Ivriĭ [3]. The machinery of paradifferential operators introduced by Bony [1]...
A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations
Serge Alinhac (2002)
Journées équations aux dérivées partielles
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The aim of this mini-course is twofold: describe quickly the framework of quasilinear wave equation with small data; and give a detailed sketch of the proofs of the blowup theorems in this framework. The first chapter introduces the main tools and concepts, and presents the main results as solutions of natural conjectures. The second chapter gives a self-contained account of geometric blowup and of its applications to present problem.
Fourier integral operators and nonlinear wave equations
Christopher Sogge (1997)
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Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Mihai Mariş (2010)
Journées Équations aux dérivées partielles
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This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.