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Global Existence, Uniqueness of Weak Solutions and Determining Functionals for Nonlinear Wave Equations
Department of Mathematics, Gazi University, Ankara, Turkey
- 1 Department of Mathematics, Gazi University, Ankara, Turkey
Advances in Pure Mathematics·Volume 03 (2013)·Pages 451–457·Published 23 July 2013·DOI10.4236/apm.2013.35064
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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.
KeywordsGlobal ExistenceUniquenessDetermining Modes
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