On the Cauchy problem for hyperbolic functional-differential equations

Adrian Karpowicz, and Henryk Leszczyński. "On the Cauchy problem for hyperbolic functional-differential equations." Annales Polonici Mathematici 115.1 (2015): 53-74. <http://eudml.org/doc/280520>.

@article{AdrianKarpowicz2015,
abstract = {We consider the Cauchy problem for a nonlocal wave equation in one dimension. We study the existence of solutions by means of bicharacteristics. The existence and uniqueness is obtained in $W^\{1,∞\}_\{loc\}$ topology. The existence theorem is proved in a subset generated by certain continuity conditions for the derivatives.},
author = {Adrian Karpowicz, Henryk Leszczyński},
journal = {Annales Polonici Mathematici},
keywords = {hyperbolic equation; functional-differential; Cauchy problem; existence},
language = {eng},
number = {1},
pages = {53-74},
title = {On the Cauchy problem for hyperbolic functional-differential equations},
url = {http://eudml.org/doc/280520},
volume = {115},
year = {2015},
}

TY - JOUR
AU - Adrian Karpowicz
AU - Henryk Leszczyński
TI - On the Cauchy problem for hyperbolic functional-differential equations
JO - Annales Polonici Mathematici
PY - 2015
VL - 115
IS - 1
SP - 53
EP - 74
AB - We consider the Cauchy problem for a nonlocal wave equation in one dimension. We study the existence of solutions by means of bicharacteristics. The existence and uniqueness is obtained in $W^{1,∞}_{loc}$ topology. The existence theorem is proved in a subset generated by certain continuity conditions for the derivatives.
LA - eng
KW - hyperbolic equation; functional-differential; Cauchy problem; existence
UR - http://eudml.org/doc/280520
ER -