9 citations · 29 across the 25 of their papers we have counts for
5 papers · 2 filters
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…