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math.AP2025
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…
math.AP2025
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$\…
math.AP2025
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…