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
Cannarsa P.;Sinestrari C.
2020-01-01
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 | |
|---|---|---|---|
|
1-s2.0-S0022039619303936-main.pdf
solo utenti autorizzati
Licenza:
Copyright dell'editore
Dimensione
313.09 kB
Formato
Adobe PDF
|
313.09 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
