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

Matthias Eller. "Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss-Sakamoto condition." Applicationes Mathematicae 35.3 (2008): 323-333. <http://eudml.org/doc/279874>.

@article{MatthiasEller2008,
abstract = {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.},
author = {Matthias Eller},
journal = {Applicationes Mathematicae},
keywords = {symmetric hyperbolic systems; boundary value problems; uniform Lopatinskiĭ condition},
language = {eng},
number = {3},
pages = {323-333},
title = {Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss-Sakamoto condition},
url = {http://eudml.org/doc/279874},
volume = {35},
year = {2008},
}

TY - JOUR
AU - Matthias Eller
TI - Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss-Sakamoto condition
JO - Applicationes Mathematicae
PY - 2008
VL - 35
IS - 3
SP - 323
EP - 333
AB - 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.
LA - eng
KW - symmetric hyperbolic systems; boundary value problems; uniform Lopatinskiĭ condition
UR - http://eudml.org/doc/279874
ER -