L∞ estimate for Maxwell–Higgs equation on Reissner–Nordström geometry
In this paper, we obtain [Formula: see text] estimate for the Maxwell–Higgs system in the exterior region of Reissner–Nordström spacetimes. Utilizing the integrated local energy decay estimate, the Sobolev embedding theorem alongside the Gagliardo–Nirenberg–Sobolev inequality on compact Riemannian manifold, we derive the boundedness for [Formula: see text] norm of the Maxwell–Higgs system on Reissner–Nordström geometry.
Authors
- Fiki T. Akbar
- Ardian Nata Atmaja (ORCID: https://orcid.org/0000-0002-1227-3917)
- Bobby Eka Gunara (ORCID: https://orcid.org/0000-0002-6529-7664)
- Jusak Sali Kosasih (ORCID: https://orcid.org/0009-0003-5354-7026)
- Triyanta Triyanta
- Mulyanto Mulyanto
Institutions
- Bandung Institute of Technology (ID)
- National Research and Innovation Agency (ID)
Publication Details
- Journal
- International Journal of Modern Physics A
- Published
- 2024-12-20
- DOI
- https://doi.org/10.1142/s0217751x2550006x
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00