Remarks on the Well-Posedness of the Nonlinear Cauchy Problem
Idioma
en
Article de revue
Este ítem está publicado en
Contemporary mathematics. 2005, vol. 368, p. 337-356
American Mathematical Society
Resumen en inglés
We show that hyperbolicity is a necessary condition for the well posedness of the noncharacteristic Cauchy problem for nonlinear partial differential equations. We give conditions on the initial data which are necessary ...Leer más >
We show that hyperbolicity is a necessary condition for the well posedness of the noncharacteristic Cauchy problem for nonlinear partial differential equations. We give conditions on the initial data which are necessary for the existence of solutions and we analyze Hadamard's instabilities in Sobolev spaces. We also show that genuinely nonlinear equations raise new interesting problems.< Leer menos
Palabras clave en inglés
Cauchy Problem
well posedness
Hadamard's instability
Orígen
Importado de HalCentros de investigación