On continuous solutions to linear hyperbolic systems

Małgorzata Zdanowicz, and Zbigniew Peradzyński. "On continuous solutions to linear hyperbolic systems." Annales Polonici Mathematici 86.3 (2005): 273-281. <http://eudml.org/doc/280333>.

@article{MałgorzataZdanowicz2005,
abstract = {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.},
author = {Małgorzata Zdanowicz, Zbigniew Peradzyński},
journal = {Annales Polonici Mathematici},
keywords = {two independent variables; characteristic curves},
language = {eng},
number = {3},
pages = {273-281},
title = {On continuous solutions to linear hyperbolic systems},
url = {http://eudml.org/doc/280333},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Małgorzata Zdanowicz
AU - Zbigniew Peradzyński
TI - On continuous solutions to linear hyperbolic systems
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 3
SP - 273
EP - 281
AB - 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.
LA - eng
KW - two independent variables; characteristic curves
UR - http://eudml.org/doc/280333
ER -