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Two-sided estimates on Dirichlet heat kernels for time-dependent parabolic operators with singular drifts in C^{1,alpha}-domains

2014.07.18 16:38

실적년도	2012 년
논문구분	국외
총저자	Panki Kim, Hyein Park
학술지명	Journal of Differential Equations
권(Vol.)	252
호(No.)
게재년월	2012년 1월
Impact Factor
SCI 등재	Yes
비고

In this paper, we establish sharp two-sided estimates for the Dirichlet heat kernels of a large class of time-dependent parabolic operators with singular drifts in C 1,α -domain in Rd , where α∈(0,1]. Our operator is L+μ·∇x, where L is a time- dependent uniformly elliptic divergent operator with Dini continuous coefficients and μ is a signed measure on (0, ∞) × Rd belonging to parabolic Kato class. Along the way, a gradient estimate is also established. Our method employs a combination of partial differential equations and perturbation techniques.

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