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Homogenization of pathwise Hamilton-Jacobi equations

  • Ben Seeger (University of Chicago)
A3 01 (Sophus-Lie room)

Abstract

We consider homogenization problems for pathwise Hamilton-Jacobi equations with "rough" multiplicative driving signals. The main result is for a single path and with a Hamiltonian that is smooth, convex, and positively homogenous. For such equations, we discuss some recent methods for obtaining well-posedness and stability estimates. We also address equations involving multiple driving signals, and show that homogenization or blow-up can occur.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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