Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840165 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 17 Pages |
Abstract
This paper contributes to the analysis of propagation of singularities for semiconcave solutions of Hamilton–Jacobi equations. Under certain conditions, we establish the existence and uniqueness of certain broken characteristics termed strong characteristics. If uu is a viscosity solution of a Hamilton–Jacobi equation, then strong characteristics carry the singularities of uu.
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Authors
Thomas Strömberg,