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Hans Oude Groeniger: Blowup for small powers of nonlinear wave equations

Tid: Fr 2020-02-07 kl 13.00 - 14.00

Plats: KTH, 3418

Medverkande: Hans Groeniger

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Abstract

I shall sketch the proof of an old but nice result by John on the blowup of solutions to some rather simple non-linear wave equations on flat space.

After recalling some of the basic theory on linear waves I shall outline how the forcing term creates a feedback loop, leading to the conclusion that even for smooth, small and compactly supported data we have blowup in finite time.