Upper semicontinuity of attractors for the discretization of strongly damped wave equations
نویسندگان
چکیده
In most problems, the ideal situation is having the asymptotic dynamics of one equation the same as the asymptotic dynamics of its discretization. Although, when we are studying the linear wave equation, we note that the spectrum of discretization and the spectrum of its continuous counterpart are far away from each other, no matter how fine the discretization is. This fact is restrictive in the hyperbolic equation (case η = 0). It also happens in the parabolic equation but the nonconvergent part is controlled by the fact that the real part
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