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.
Generation of singularities from the initial datum for Hamilton-Jacobi equations / Albano P.; Cannarsa P.; Sinestrari C.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 268:4(2020), pp. 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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