Geodesic
Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss–Sakamoto condition
Matthias Eller1
1 Department of Mathematics Georgetown University Washington, DC 20057, U.S.A.
Applicationes Mathematicae, Tome 35 (2008) no. 3, pp. 323-333 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am35-3-5
Keywords: symmetric hyperbolic systems class non homogeneous boundary conditions satisfy kreiss sakamoto condition uniform lopatinskii condition discussed boundary conditions conservative type energy estimate which provides interior boundary regularity weak solutions system proved results valid operators rough coefficients example anisotropic maxwell system considered

Matthias Eller 1

1 Department of Mathematics Georgetown University Washington, DC 20057, U.S.A. 
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Matthias Eller. Symmetric hyperbolic systems with
 boundary conditions that do not satisfy
 the Kreiss–Sakamoto condition. Applicationes Mathematicae, Tome 35 (2008) no. 3, pp. 323-333. doi: 10.4064/am35-3-5

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