4 papers
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…
Weak Harnack estimates for a doubly nonlinear nonlocal p-Laplace equation
Bin Shang, Chao Zhang
We establish a new type of weak Harnack estimates with optimal parabolic tail for the weak supersolutions to a doubly nonlinear nonlocal -Laplace equation, which is modeled on t…
Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations
Vicentiu Radulescu, Bin Shang, Chao Zhang
In this paper, we establish the Harnack inequality of nonnegative weak solutions to the doubly nonlinear mixed local and nonlocal parabolic equations. This result is obtained by co…