Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field - Laboratoire Jacques-Louis Lions Accéder directement au contenu
Article Dans Une Revue Ann.PDE Année : 2021

Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field

Qian Wang
Shiwu Yang
  • Fonction : Auteur

Résumé

We derive the global dynamic properties of the mMKG system (Maxwell coupled with a massive Klein-Gordon scalar field) with a general class of data, in particular, for Maxwell field of arbitrary size, and by a gauge independent method. Due to the critical slow decay expected for the Maxwell field, the scalar field exhibits a loss of decay at the causal infinities within an outgoing null cone. To overcome the difficulty caused by such loss in the energy propagation, we uncover a hidden cancellation contributed by the Maxwell equation, which enables us to obtain the sharp control of the Maxwell field under a rather low regularity assumption on data. Our method can be applied to other physical field equations, such as the Einstein equations for which a similar cancellation structure can be observed.

Dates et versions

hal-02066898 , version 1 (13-03-2019)

Identifiants

Citer

Allen Fang, Qian Wang, Shiwu Yang. Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field. Ann.PDE, 2021, 7 (1), pp.3. ⟨10.1007/s40818-021-00092-4⟩. ⟨hal-02066898⟩
89 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More