We consider the viscosity solution of the Cauchy problem for a class of Hamilton–Jacobi equations and we show that the points of the C 1 singular support of such a function propagate along the generalized characteristics for all the times.
Albano, P. (2014). Propagation of singularities for solutions of Hamilton-Jacobi equations. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 411(2), 684-687 [10.1016/j.jmaa.2013.10.015].
Propagation of singularities for solutions of Hamilton-Jacobi equations
ALBANO, PAOLO
2014
Abstract
We consider the viscosity solution of the Cauchy problem for a class of Hamilton–Jacobi equations and we show that the points of the C 1 singular support of such a function propagate along the generalized characteristics for all the times.File in questo prodotto:
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