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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-2-7,
author = {F. Periago and B. Straub},
title = {On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {183-193},
zbl = {1054.34093},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-2-7}
}
F. Periago; B. Straub. On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem. Studia Mathematica, Tome 157 (2003) pp. 183-193. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-2-7/