On generalized solutions to the wave equation in canonical form
Victor Dévoué
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Victor Dévoué
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Yu G. Rykov (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Clark, H.R. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Kunihiko Kajitani (2000)
Journées équations aux dérivées partielles
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We shall give the local in time existence of the solutions in Gevrey classes to the Cauchy problem for Kirhhoff equations of -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When , his equation as the global real analytic solution for the real analytic initial data.
Amin Esfahani (2014)
Applications of Mathematics
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In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.
J. Ginibre, G. Velo (1985)
Mathematische Zeitschrift
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Henryk Kołakowski, Jarosław Łazuka (2008)
Applicationes Mathematicae
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The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.
Daspan, Gideon P., Tom, Michael M. (2007)
International Journal of Mathematics and Mathematical Sciences
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Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Lars Hörmander (1987)
Journées équations aux dérivées partielles
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