Pengyu Chen, Yongxiang Li
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.
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Pengyu Chen Department of Mathematics Northwest Normal University Lanzhou 730000, China email: chpengyu123@163.com | |
Yongxiang Li Department of Mathematics Northwest Normal University Lanzhou 730000, China email: liyx@nwnu.edu.cn |
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