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Low regularity solutions for nonlinear waves

PDE and Applied Math Seminar

Speaker: Daniel Tataru, UC-Berkeley
Location: zoom
Start time: Tue, Feb 22 2022, 4:10PM

The sharp local well-posedness result for generic nonlinear wave equations was proved in my work with Smith about 20 years ago. Around the same time, it was conjectured that, for problems satisfying a suitable nonlinear null condition, the local well-posedness threshold can be improved. In this talk I will describe the first result establishing this conjecture for a good model. This is joint work with Albert Ai and Mihaela Ifrim.