Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss-Sakamoto condition

• Autorzy: Matthias Eller
• Języki publikacji: EN

Abstrakty

EN

Symmetric hyperbolic systems with a class of non-homogeneous boundary conditions that do not satisfy the Kreiss-Sakamoto condition (or uniform Lopatinskii condition) are discussed. The boundary conditions are of conservative type. An energy estimate which provides interior and boundary regularity for weak solutions to the system is proved. The results are valid for operators with rough coefficients. As an example the anisotropic Maxwell system is considered.

Kategorie tematyczne

• 35L50: Initial-boundary value problems for first-order hyperbolic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 3
• Strony: 323-333

Daty

wydano

2008

Twórcy

autor

Matthias Eller

• Department of Mathematics, Georgetown University, Washington, DC 20057, U.S.A.

Identyfikatory

DOI

10.4064/am35-3-5