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.