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.
Propagation of singularities for solutions of Hamilton-Jacobi equations / Albano, P.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 411:2(2014), pp. 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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