Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 18, pp. 1-9.

Title: Existence and uniqueness of strong solutions for
       nonlocal evolution equations

Authors: Pengyu Chen  (Northwest Normal Univ., Lanzhou, China)
         Yongxiang Li (Northwest Normal Univ., Lanzhou, China)

Abstract:
 The aim of this article is to study the existence and
 uniqueness of strong solutions for a class of semilinear evolution
 equations with nonlocal initial conditions. The discussions are based
 on analytic semigroup theory and fixed point theorems.
 An example illustrates the main results.

Submitted April 28, 2013. Published January 10, 2014.
Math Subject Classifications: 34G20, 34K30, 35D35, 47D06.
Key Words: Evolution equation; nonlocal initial condition; strong solution; 
           analytic semigroups; existence and uniqueness.