2 00 8 The Pointwise Estimates of Solutions for Semilinear Dissipative Wave Equation ∗

نویسندگان

  • Yongqin Liu
  • Weike Wang
چکیده

In this paper we focus on the global-in-time existence and the pointwise estimates of solutions to the Cauchy problem for the semilinear dissipative wave equation in multi-dimensions. By using the method of Green function combined with the energy estimates, we obtain the pointwise estimates of the solution. keywords: semilinear dissipative wave equation, pointwise estimates, Green function. MSC(2000): 35E; 35L.

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The Pointwise Estimates of Solutions for Semilinear Dissipative Wave Equation

In this paper we focus on the global-in-time existence and the pointwise estimates of solutions to the Cauchy problem for the semilinear dissipative wave equation in multi-dimensions. By using the method of Green function combined with the energy estimates, we obtain the pointwise estimates of the solution. keywords: semilinear dissipative wave equation, pointwise estimates, Green function. MSC...

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تاریخ انتشار 2008