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.
Albano P., Cannarsa P., Sinestrari C. (2020). Generation of singularities from the initial datum for Hamilton-Jacobi equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 268(4), 1412-1426 [10.1016/j.jde.2019.08.051].
Generation of singularities from the initial datum for Hamilton-Jacobi equations
Albano P.;Sinestrari C.
2020
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.| File | Dimensione | Formato | |
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