9 citations · 29 across the 25 of their papers we have counts for
6 papers · 1 filter
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…
The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth
Ky Ho, Yun-Ho Kim, Patrick Winkert +1
In this paper we prove the boundedness and Hölder continuity of quasilinear elliptic problems involving variable exponents for a homogeneous Dirichlet and a nonhomogeneous Neumann…
Gradient Holder regularity for parabolic normalized p(x,t)-Laplace equation
Yuzhou Fang, Chao Zhang
We consider interior Hölder regularity of the spatial gradient of viscosity solutions to the normalized -Laplace equation $$ u_t=\left(δ_{ij}+(p(x,t)-2)\frac{u_i u_j}{|Du|^…
Equivalence between distributional and viscosity solutions for the double-phase equation
Yuzhou Fang, Chao Zhang
We investigate the different notions of solutions to the double-phase equation $$ -\dive(|Du|^{p-2}Du+a(x)|Du|^{q-2}Du)=0, $$ which is characterized by the fact that both elliptici…
Regularity property of some operators on Lipschitz spaces and homogeneous Lipschitz spaces related to biharmonic operator
Chao Zhang
In this paper, we consider the characterizations of the Lipschitz spaces and homogeneous Lipschitz spaces associated to the biharmonic operator With this characterizations,…