Stability results for nonlinear wave equations with generalized null conditions

Stability results for nonlinear wave equations with generalized null conditions

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John Anderson (Stanford)
Fine Hall 314

In-Person Talk (zoom option for remote audience, see link below)

I will describe two global stability results for nonlinear wave equations. The first concerns anisotropic systems of wave equations, similar to those found in the study of optics. The second, which is joint with Samuel Zbarsky, concerns nonlinear wave equations where the coefficients of the nonlinearity are allowed to vary. Both proofs use bilinear energy estimates to control the solution, relying on estimates for the linear homogeneous equation as a black box. Moreover, both proofs require us to take advantage of some kind of null condition.

Zoom link (password required): https://princeton.zoom.us/j/92147928280?pwd=aGJ4VStpUTI2RWh1Y2FqTjlGQnZGQT09