On continuous solutions to linear hyperbolic systems

• Autorzy: Małgorzata Zdanowicz , Zbigniew Peradzyński
• Języki publikacji: EN

Abstrakty

EN

We study the conditions under which the Cauchy problem for a linear hyperbolic system of partial differential equations of the first order in two independent variables has a unique continuous solution (not necessarily Lipschitz continuous). In addition to obvious continuity assumptions on coefficients and initial data, the sufficient conditions are the bounded variation of the left eigenvectors along the characteristic curves.

Kategorie tematyczne

• 35L45: Initial value problems for first-order hyperbolic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 86
• Numer: 3
• Strony: 273-281

Daty

wydano

2005

Twórcy

autor

Małgorzata Zdanowicz

• Institute of Mathematics, University of Białystok, Akademicka 2, 15-267 Białystok, Poland

autor

Zbigniew Peradzyński

• Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap86-3-5