Generation of singularities from the initial datum for Hamilton-Jacobi equations
Analysis of PDEs
2019-07-02 v1 Optimization and Control
Abstract
We study the generation of singularities from the initial datum for a solution of the Cauchy problem for a class of Hamilton-Jacobi equations of evolution. For such equations, we give conditions for the existence of singular generalized characteristics starting at the initial time from a given point of the domain, depending on the properties of the proximal subdifferential of the initial datum in a neighbourhood of that point.
Cite
@article{arxiv.1907.00796,
title = {Generation of singularities from the initial datum for Hamilton-Jacobi equations},
author = {Paolo Albano and Piermarco Cannarsa and Carlo Sinestrari},
journal= {arXiv preprint arXiv:1907.00796},
year = {2019}
}
Comments
18 pages