On the behaviour of generalized solutions of the Cauchy problem for essentially nonautonous quasilinear first order equations.
Yu G. Rykov (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Displaying similar documents to “A forced quasilinear wave equation with dissipation”
On the behaviour of generalized solutions of the Cauchy problem for essentially nonautonous quasilinear first order equations.
Remarks on bounded solutions of a semilinear dissipative hyperbolic equation
Marie Kopáčková (1989)
Commentationes Mathematicae Universitatis Carolinae
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Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type
Renato Manfrin (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Some remarks on multidimensional systems of conservation laws
Alberto Bressan (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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This note is concerned with the Cauchy problem for hyperbolic systems of conservation laws in several space dimensions. We first discuss an example of ill-posedness, for a special system having a radial symmetry property. Some conjectures are formulated, on the compactness of the set of flow maps generated by vector fields with bounded variation.