A MIXED PROBLEM FOR SEMILINEAR WAVE EQUATIONS WITH ACOUSTIC BOUNDARY CONDITIONS IN DOMAINS WITH NON-LOCALLY REACTING BOUNDARY

作者：Frota Cicero L^*; Medeiros Luiz A; Vicente Andre

来源：Electronic Journal of Differential Equations, 2014, 243.

• Nonlinear wave equation
• non-locally reacting boundary
• acoustic boundary conditions
• nonlinear boundary condition
• stabilization

In this article we study the existence, uniqueness and asymptotic stability of solution to the mixed problem for the semilinear wave equation with acoustic boundary conditions in domains with non-locally reacting boundary. We also prove the existence and uniqueness of solution to a problem with nonmonotone dissipative term.

• 出版日期2014-11-18