The University of Arizona

Riccati Equation Methods in Weak KAM Theory

Riccati Equation Methods in Weak KAM Theory

Series: Mathematics Colloquium
Location: Math 501
Presenter: Lawrence Craig Evans, UC Berkeley

 In this expository talk, I will briefly discuss the old PDE trick of making a log change of variables, and the related ODE trick of converting linear second-order equations into nonlinear Riccati equations. Then I will introduce distinguished solutions of matrix Riccati equations and discuss some newly found connections with Hamilton-Jacobi PDE in weak KAM theory.

Refreshments in Math Commons Room at 3:30pm

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