Generalized solutions to a characteristic Cauchy problem

• Autorzy: Allaud, E. , Devoue, V.
• Języki publikacji: EN

Abstrakty

EN

We give a meaning to the nonlinear characteristic Cauchy problem for the wave equation in base form by replacing it by a family of non-characteristic ones. This leads to a well-formulated problem in an appropriate algebra of generalized functions. We prove existence of a solution and we precise how it depends on the choice made. We also check that in the classical case (non-characteristic) our new solution coincides with the classical one.

Słowa kluczowe

PL

algebra funkcji uogólnionych; nieliniowe równania różniczkowe cząstkowe; zagadnienie Cauchy'ego; równanie falowe

EN

algebras of generalized functions; nonlinear partial differential equations; characteristic Cauchy problem; wave equation

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2013
• Tom: Vol. 19, nr 1
• Strony: 1--29
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Allaud, E.

• Equipe Analyse Algébrique Non Linéaire, Université des Antilles et de la Guyane, Laboratoire CEREGMIA, Campus de Schoelcher, BP 7209, 97275 Schoelcher Cedex, Martinique,

autor

Devoue, V.

• Equipe Analyse Algébrique Non Linéaire, Université des Antilles et de la Guyane, Laboratoire CEREGMIA, Campus de Schoelcher, BP 7209, 97275 Schoelcher Cedex, Martinique,

Bibliografia

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