TITLE:
Global Existence, Uniqueness of Weak Solutions and Determining Functionals for Nonlinear Wave Equations
AUTHORS:
Ülkü Dinlemez
KEYWORDS:
Global Existence; Uniqueness; Determining Modes
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.5,
July
23,
2013
ABSTRACT:
We
consider the initial-boundary value problem for a nonlinear wave equation with
strong structural damping and nonlinear source terms in IR. We prove the global
existence and uniqueness of weak solutions of the problem and then we will study
the determining modes on the phase space by using energy
methods and the concept of the completeness defect.