On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem
Volume 155 / 2003
Studia Mathematica 155 (2003), 183-193
MSC: 34K30, 47D06, 47F05.
DOI: 10.4064/sm155-2-7
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.
