Speaker : Professor Ti-Jun Xiao (Fudan University)
Title : Nonautonomous second order equations with generalized Wentzell boundary conditions
Time : 2012-08-29 (Wed) 15:00 - 16:00
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: Of concern are the initial-boundary value problems for nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions. We will present a global wellposedness theorem (in a classical sense) for these problems via a specifically designed operator theoretic approach. Moreover, we will give sharp estimations for the evolution of the solution along the characteristic curves, which enable us to derive the uniform exponential decay of the associated energies.