Integrated Local Energy Decay Estimate Maxwell-Higgs System on Reissner-Nordstrom spacetimes
Mulyanto 1, Ardian Nata Atmaja 1, Fiki Taufik Akbar 2, Bobby Eka Gunara 2

1 Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), Kompleks PUSPIPTEK Serpong, Tangerang 15310, Indonesia.
2 Theoretical Physics Laboratory, Theoretical High Energy Physics Research Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung
Jl. Ganesha no. 10 Bandung, Indonesia, 40132

Abstract

In this paper, we demonstrate the energy estimate for the Maxwell-Higgs system in the outer region of Reissner-Nordstrom spacetimes. By employing the integrated local energy decay (ILED) estimate along with geometric energy estimates, we get the boundedness on the middle component problem of the Maxwell-Higgs system.

Keywords: Decay, Energy estimate, Maxwell-Higgs

Topic: Minisymposia Differential Equations