Well posedness under Levi conditions for a degenerate second order Cauchy problem
Alessia Ascanelli (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems”
Well posedness under Levi conditions for a degenerate second order Cauchy problem
Breakdown in finite time of solutions to a one-dimensional wave equation.
Mokhtar Kirane, Salim A. Messaoudi (2000)
Revista Matemática Complutense
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We consider a special type of a one-dimensional quasilinear wave equation w - phi (w / w) w = 0 in a bounded domain with Dirichlet boundary conditions and show that classical solutions blow up in finite time even for small initial data in some norm.
On pseudosymmetric hyperbolic systems
Piero D'Ancona, Sergio Spagnolo (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Symmetrization of hyperbolic systems with real constant coefficients
Tatsuo Nishitani (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Some results on the well-posedness for systems with time dependent coefficients
Marcello D’Abbicco, Giovanni Taglialatela (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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We consider hyperbolic systems with time dependent coefficients and size or . We give some sufficient conditions in order the Cauchy Problem to be well-posed in and in Gevrey spaces.
On pseudosymmetric systems with one space variable
Tatsuo Nishitani, Sergio Spagnolo (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Local properties of stationary solutions of some nonlinear singular Schrödinger equations.
Bouchaib Guerch, Laurent Véron (1991)
Revista Matemática Iberoamericana
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We study the local behaviour of solutions of the following type of equation, -Δu - V(x)u + g(u) = 0 when V is singular at some points and g is a non-decreasing function. Emphasis is put on the case when V(x) = c|x|-2 and g has a power-like growth.