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20212025
most citedHarnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math.AP2025

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…

math.AP2024★ 1 cited

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…

math.AP2023

Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations

Bin Shang, Chao Zhang

We study the mixed local and nonlocal double phase parabolic equation \begin{align*} \partial_t u(x,t)-\mathrm{div}(a(x,t)|\nabla u|^{q-2}\nabla u) +\mathcal{L}u(x,t)=0 \end{align*…

math.AP2021

Hölder regularity for mixed local and nonlocal -Laplace parabolic equations

Bin Shang, Chao Zhang

We give a unified proof of Hölder regularity of weak solutions for mixed local and nonlocal -Laplace type parabolic equations with the full range of exponents . Our…

math.AP2021

Regularity theory for mixed local and nonlocal parabolic p-Laplace equations

Bin Shang, Yuzhou Fand, Chao Zhang

We investigate the mixed local and nonlocal parabolic -Laplace equation \begin{align*} \partial_t u(x,t)-Δ_p u(x,t)+\mathcal{L}u(x,t)=0, \end{align*} where is the local $p…