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BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Scattering from infinity for semi-linear wave equations with weak null condition Schlue, Volker


In this talk I present global existence results backwards from scattering data for various semilinear wave equations on Minkowski space satisfying the (weak) null condition.â These models are motivated by the Einsteinâ equations in harmonic gauge, and the data is given in the form of the radiation field. It is shown in particular that the solution has the same spatial decay as the radiation field along null infinity. I will discuss the proof which relies, on one hand on aâ fractional Morawetz estimate, and on the other hand on the construction of suitable approximateâ solutions from the scattering data.

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