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Analysis Seminar

Friday, January 17, 2020
3:00pm to 4:00pm
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Linde Hall 255
Almost Sure Scattering for the Energy-Critical Nonlinear Wave Equation
Bjoern Bringmann, Department of Mathematics, UCLA,

We will discuss the defocusing energy-critical nonlinear wave equations. For deterministic and smooth initial data, it is widely known that the solutions scatter, i.e., they asympotically behave like solutions to the linear wave equation. In this talk, we will show that this scattering behavior persists under random and rough perturbations of the initial data. As part of the argument, we will discuss techniques from restriction theory, such as wave packet decompositions and Bourgain's bush argument.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].