On the exponential growth of solutions to nonlinear hyperbolic equations.
Chi, H., Poorkarimi, H., Wiener, J., Shah, S.M. (1989)
International Journal of Mathematics and Mathematical Sciences
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Chi, H., Poorkarimi, H., Wiener, J., Shah, S.M. (1989)
International Journal of Mathematics and Mathematical Sciences
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Tadek Nadzieja (1991)
Archivum Mathematicum
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N. Iwasaki (1985-1986)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Sheldon E. Newhouse (1979)
Publications Mathématiques de l'IHÉS
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Bahaguna, D., Pani, A.K., Raghavendra, V. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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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.
Khalifa, M.E. (1995)
International Journal of Mathematics and Mathematical Sciences
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Silvano Delladio (1990)
Rendiconti del Seminario Matematico della Università di Padova
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