On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem

F. Periago, and B. Straub. "On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem." Studia Mathematica 155.2 (2003): 183-193. <http://eudml.org/doc/284732>.

@article{F2003,
abstract = {We prove existence and uniqueness of classical solutions for an incomplete second-order abstract Cauchy problem associated with operators which have polynomially bounded resolvent. Some examples of differential operators to which our abstract result applies are also included.},
author = {F. Periago, B. Straub},
journal = {Studia Mathematica},
keywords = {incomplete second-order abstract Cauchy problem; operators with polynomially bounded resolvent; fractional powers; differential operators; semigroups of growth order },
language = {eng},
number = {2},
pages = {183-193},
title = {On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem},
url = {http://eudml.org/doc/284732},
volume = {155},
year = {2003},
}

TY - JOUR
AU - F. Periago
AU - B. Straub
TI - On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem
JO - Studia Mathematica
PY - 2003
VL - 155
IS - 2
SP - 183
EP - 193
AB - We prove existence and uniqueness of classical solutions for an incomplete second-order abstract Cauchy problem associated with operators which have polynomially bounded resolvent. Some examples of differential operators to which our abstract result applies are also included.
LA - eng
KW - incomplete second-order abstract Cauchy problem; operators with polynomially bounded resolvent; fractional powers; differential operators; semigroups of growth order 
UR - http://eudml.org/doc/284732
ER -