We address the topology of the set of singularities of a solution to a Hamilton–Jacobi equation. For this, we will apply the idea of the first two authors (Cannarsa and Cheng, Generalized characteristics and Lax–Oleinik operators: global result, preprint, arXiv:1605. 07581, 2016) to use the positive Lax–Oleinik semi-group to propagate singularities.
Cannarsa, P., Cheng, W., Fathi, A. (2017). On the topology of the set of singularities of a solution to the Hamilton–Jacobi equation|Sur la topologie des singularités d'une solution de l'équation de Hamilton–Jacobi. COMPTES RENDUS MATHÉMATIQUE, 355(2), 176-180 [10.1016/j.crma.2016.12.004].
On the topology of the set of singularities of a solution to the Hamilton–Jacobi equation|Sur la topologie des singularités d'une solution de l'équation de Hamilton–Jacobi
CANNARSA, PIERMARCO;
2017-01-01
Abstract
We address the topology of the set of singularities of a solution to a Hamilton–Jacobi equation. For this, we will apply the idea of the first two authors (Cannarsa and Cheng, Generalized characteristics and Lax–Oleinik operators: global result, preprint, arXiv:1605. 07581, 2016) to use the positive Lax–Oleinik semi-group to propagate singularities.File | Dimensione | Formato | |
---|---|---|---|
PMC-Chn-Fth_CRAS.pdf
accesso aperto
Licenza:
Creative commons
Dimensione
240.78 kB
Formato
Adobe PDF
|
240.78 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.