Author Archives: bpineau

Wellposedness for Quasi-linear Problems and the Modified Energy Method

The HADES seminar on Tuesday, October 17th will be at 3:30pm in Room 740.

Speaker: Ryan Martinez

Abstract: We give an exposition of the Hadamard wellposedness and explain the modified energy method through the use of the Kirchhoff type Wave Equation as an example. We use the ideas from Daniel and Mihaela’s “Local Wellposedness for Quasilinear Problems: A Primer” as well as from their work with John K.  Hunter and Tak Kwong Wong, “Long Time Solutions for a Burgers-Hilbert Equation via a Modified Energy Method.”