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The existence and uniqueness of the global solution for the viscoelastic-plate equation under nonlinear boundary conditions

Wang Dan-Xia Zhang Jian-Wen Wu Run-Heng

The existence and uniqueness of the global solution for the viscoelastic-plate equation under nonlinear boundary conditions

Wang Dan-Xia, Zhang Jian-Wen, Wu Run-Heng
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  • Abstract views:  3598
  • PDF Downloads:  872
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Publishing process
  • Received Date:  05 November 2007
  • Accepted Date:  05 March 2008
  • Published Online:  20 November 2008

The existence and uniqueness of the global solution for the viscoelastic-plate equation under nonlinear boundary conditions

  • 1. (1)北方工业大学理学院,北京 100041; (2)太原理工大学理学院,太原 030024

Abstract: In this paper,we consider the viscoelastic-plate equation under non-linear boundary conditions. Firstly,by the aid of Galerkin method,under non-linear boundary conditions (a) and the initial values w0∈W,and w1∈W,we prove the existence and uniqueness of a global weak solution w(t) for the initial boundary value problems. Secondly,under non-linear boundary conditions (b) and the initial values w0∈W,and w1∈W1,the existence and uniqueness of a global weak solution w(t) is also proved by using Galerkin method.

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