Generalized solutions to a non Lipschitz- Cauchy problem

• Autorzy: Devoue V.
• Języki publikacji: EN

Abstrakty

EN

In this article we investigate solutions to a semilinear partial differential equation with non Lipschitz nonlinearity by using recent theories of generalized functions. To give a meaning to a non Lipschitz characteristic Cauchy problem with irregular data, we replace it by a three parameter family of problems. The first parameter turns the problem into a family of Lipschitz problems, the second one converts the given problem to a non-characteristic one, whereas the third one regularizes the data. Finally, the family of problems is solved in an appropriate three parametric (C,Ε,P) algebra.

Słowa kluczowe

EN

algebras of generalized functions; nonlinear partial differential equations; characteristic Cauchy problem; non Lipschitz problem

PL

algebra dystrybucji; nieliniowe cząstkowe równanie różniczkowe; charakterystyka problemu Cauchy'ego

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2009
• Tom: Vol. 15, nr 1
• Strony: 1--32
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Devoue V.

• Equipe Analyse Algebrique Non Lineaire Departement Scientifique Interfacultaire Universite Des Antilles Et De La Guyane Campus De Schoelcher,

Bibliografia

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