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Analytic Electromagnetic Effective Source for Geodesic Orbit in Schwarzschild Spacetime
Xuchen Lu, Yungui Gong, Bokai Zhang +2
Self-force effects are essential for accurately describing the motion of small bodies in curved spacetime. The effective-source approach privides a promising route to higher-order…
Frequency-domain extended-effective-source gravitational self-force for eccentric Schwarzschild orbits
Xuchen Lu, Yungui Gong, Bokai Zhang +2
Effective-source formulations provide a practical route to gravitational self-force (GSF) calculations when singular retarded fields cannot be handled directly mode by mode. Up to…
The point-particle-limit effective-source approach for computing gravitational self-force in the Lorenz gauge
Chao Zhang, Yungui Gong, Xuchen Lu +1
The traditional effective-source method is hampered by complex analytical expressions and the inherent smoothness limit, which incur high computational costs and complicate impleme…
Hölder regularity for the parabolic perturbed fractional 1-Laplace equations
Dingding Li, Chao Zhang
This paper studies the regularity of weak solutions to a class of parabolic perturbed fractional -Laplace equations. Our analysis combines finite difference quotients, energy es…