5 papers
The Kato problem and extensions for degenerate elliptic operators of higher order in weighted spaces
Guoming Zhang
We consider the Kato problem and extensions for degenerate elliptic operators of arbitrary order (), whose coefficients are measurable, complex-valued and satisfy the…
Gaussian estimates for fundamental solutions of higher-order parabolic equations with time-independent coefficients
Guoming Zhang
We study the De Giorgi-Moser-Nash estimates of higher-order parabolic equations in divergence form with complex-valued, measurable, bounded, uniformly elliptic (in the sense of G$\…
The Kato problem for weighted elliptic and parabolic operators of higher order
Guoming Zhang
We solve the Kato square root problem for parabolic operators of arbitrary order whose coefficients are allowed to depend on both space and time in a merely measurable way and…
On regularity for nonhomogeneous parabolic systems with a skew-symmetric part in BMO
Guoming Zhang
In this paper we investigate the improved Caccioppoli inequality and the reverse Hölder inequality for gradients of weak solutions to nonhomogeneous parabolic systems whose coeffic…
estimates for commutators of the Dirichlet-to-Neumann Map associated to elliptic operators with complex-valued bounded measurable coefficients on
Steve Hofmann, Guoming Zhang
In this paper we establish commmutator estimates for the Dirichlet-to-Neumann Map associated to a divergence form elliptic operator in the upper half-space $\mathbb{R}^{n+1}_+:=\{(…