Events

Strichartz estimates and attractors for wave equations with fractional damping

Date • Time

Thursday, March 13, 2014 - 13:00 to 14:00

Venue

39 AA 04

Tickets

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Open to: staff, students and the public

Speaker: Anton Savostianov (Surrey)

Abstract: The talk is devoted to Dirichlet problem for sub-quintic semi-linear wave equation with fractional damping in bounded smooth domains of R3. It appears that to prove well-posedness and develop the attractor theory for this problem we need additional regularity of the solutions, which does not follow from energy estimate.

Considering the original problem as perturbation of the linear one the task is reduced to derivation of Strichartz type estimate for the linear wave equation with fractional damping, that will be the focus of the talk.