Indonesian Journal of Physics (IJP)
Vol 33 No 1 (2022): Vol 33 No 1 (2022)

Blow-up Dynamics of Higher Dimensional Klein-Gordon Equation with Nonminimal Coupling in Subcritical Case

Mirda Prisma Wijayanto (Unknown)
Fiki Taufik Akbar (Unknown)
Bobby Eka Gunara (Unknown)



Article Info

Publish Date
31 Oct 2022

Abstract

The aim of this present work is to study the blow-up dynamics and lifespanestimate for solution to higher dimensional Klein-Gordon Equation in subcritical case, in which1 < p < psc. We construct the equation of motion from the Lagrangian of Klein-Gordon withnon-minimal coupling, where the coupling interaction of the scalar field is proportional to thescalar curvature of the spacetime. The equation of motion has the form like nonlinear dampedwave equation with mass. The novelty of this work is the time dependent of nonlinear term. Weuse test function method to proof the lifespan estimate.

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Journal Info

Abbrev

ijp

Publisher

Subject

Astronomy Computer Science & IT Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering

Description

Indonesian Journal of Physics welcomes full research articles in the area of Sciences and Engineering from the following subject areas: Physics, Mathematics, Astronomy, Mechanical Engineering, Civil and Structural Engineering, Chemical Engineering, Electrical Engineering, Geotechnical Engineering, ...