Cauchy problem in generalized Gevrey classes

Daniela Calvo. "Cauchy problem in generalized Gevrey classes." Banach Center Publications 60.1 (2003): 269-278. <http://eudml.org/doc/281988>.

@article{DanielaCalvo2003,
abstract = {In this work we present a class of partial differential operators with constant coefficients, called multi-quasi-hyperbolic and defined in terms of a complete polyhedron. For them we obtain the well-posedness of the Cauchy problem in generalized Gevrey classes determined by means of the same polyhedron. We present some necessary and sufficient conditions on the operator in order to be multi-quasi-hyperbolic and give some examples.},
author = {Daniela Calvo},
journal = {Banach Center Publications},
keywords = {well-posedness of the Cauchy problem; generalized Gevrey classes; multi-quasi-hyperbolic operators},
language = {eng},
number = {1},
pages = {269-278},
title = {Cauchy problem in generalized Gevrey classes},
url = {http://eudml.org/doc/281988},
volume = {60},
year = {2003},
}

TY - JOUR
AU - Daniela Calvo
TI - Cauchy problem in generalized Gevrey classes
JO - Banach Center Publications
PY - 2003
VL - 60
IS - 1
SP - 269
EP - 278
AB - In this work we present a class of partial differential operators with constant coefficients, called multi-quasi-hyperbolic and defined in terms of a complete polyhedron. For them we obtain the well-posedness of the Cauchy problem in generalized Gevrey classes determined by means of the same polyhedron. We present some necessary and sufficient conditions on the operator in order to be multi-quasi-hyperbolic and give some examples.
LA - eng
KW - well-posedness of the Cauchy problem; generalized Gevrey classes; multi-quasi-hyperbolic operators
UR - http://eudml.org/doc/281988
ER -