9 citations · 17 across the 15 of their papers we have counts for
11 papers · 1 filter
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…
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…
Gaussian Estimates for Heat Kernels of Higher Order Schrödinger Operators with Potentials in Generalized Schechter Classes
Jun Cao, Yu Liu, Dachun Yang +1
Let , be a -order homogeneous elliptic operator with real constant coefficients on , and a measurable functi…
Hypocoercivity and global hypoellipticity for the kinetic Fokker-Planck equation in spaces
Chaoen Zhang
The purpose of this paper is to extend the hypocoercivity results for the kinetic Fokker-Planck equation in space in Villani's memoir \cite{Villani} to higher order Sobolev s…