A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable
Optimization and Control
2008-02-22 v1
Abstract
We investigate the regularity of solutions of first order Hamilton-Jacobi equation with super linear growth in the gradient variable. We show that the solutions are locally H\"older continuous with H\"older exponent depending only on the growth of the Hamiltonian. The proof relies on a reverse H\"older inequality.
Keywords
Cite
@article{arxiv.0802.3153,
title = {A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable},
author = {Pierre Cardaliaguet},
journal= {arXiv preprint arXiv:0802.3153},
year = {2008}
}