Nonlinear wave equation with weak dissipative term in domains with non-locally reacting boundary

作者：Vicente A^*; Frota C L

来源：Wave Motion, 2013, 50(2): 162-169.

DOI：10.1016/j.wavemoti.2012.08.003

• Nonlinear wave equation
• Non-locally reacting boundary
• Acoustic boundary conditions
• Laplace-Beltrami operator

In this paper we study the existence and uniqueness of the global solution of a mixed problem associated to a Carrier Equation with weak dissipative term in a bounded domain of R-n. On a boundary portion of the domain we consider acoustic boundary conditions to a non-locally reacting boundary. The asymptotic behavior of the energy associated to the problem is also studied.

• 出版日期2013-3