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I. D. Chueshov, “Theory of Functionals That Uniquely Determine Long-Time Dynamics of Infinitive Dimensional Dissipative Systems,” Russian Mathematical Surveys, Vol. 53, No. 4, 1998, pp. 1-58. doi:10.1070/RM1998v053n04ABEH000057

has been cited by the following article:

• 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.