9 citations · 29 across the 25 of their papers we have counts for
6 papers · 1 filter
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…
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…
On weak and viscosity solutions of nonlocal double phase equations
Yuzhou Fang, Chao Zhang
We consider the nonlocal double phase equation \begin{align*} \mathrm{P.V.} &\int_{\mathbb{R}^n}|u(x)-u(y)|^{p-2}(u(x)-u(y))K_{sp}(x,y)\,dy\\ &+\mathrm{P.V.} \int_{\mathbb{R}^n} a(…
Regularity for quasi-linear parabolic equations with nonhomogeneous degeneracy or singularity
Yuzhou Fang, Chao Zhang
We introduce a new class of quasi-linear parabolic equations involving nonhomogeneous degeneracy or/and singularity $$ \partial_t u=[|D u|^q+a(x,t)|D u|^s]\left(Δu+(p-2)\left\langl…
Boundedness of operators generated by fractional semigroups associated with Schrödinger operators on Campanato type spaces via theorem
Zhiyong Wang, Pengtao Li, Chao Zhang
Let be a Schrödinger operator, where the nonnegative potential belongs to the reverse Hölder class . By the aid of the subordinative formula, we estim…
Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent
Yuzhou Fang, Vicentiu D. Radulescu, Chao Zhang
We consider the fully nonlinear equation with variable-exponent double phase type degeneracies Under some appropriate assum…