Gaussian estimates for second order elliptic operators with boundary conditions
Gaussian estimates for second order elliptic operators with boundary conditions
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发表时间：
1995
影响因子：
7.7
通讯作者：
W. Arendt;Elst ter Afm
中科院分区：
文献类型：
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作者：
W. Arendt;Elst ter Afm
我们证明了由二阶算子 A 以发散形式生成的半群核的高斯估计，其在满足各种边界条件的 Rd 的开子集 n 上具有实数（不一定是对称的）二阶系数。如果 n 的边界 an 是空集，则 A +wI 具有有界 Hoo 泛函计算，并且如果 w 足够大，则具有有界虚幂。
We prove Gaussian estimates for the kernel of the semigroup generated by a second order operator A in divergence form with real, not necessarily symmetric, second order coefficients on an open subset n of Rd satisfying various boundary conditions. If the boundary an of n is a null set, then A +wI has a bounded Hoo functional calculus and has bounded imaginary powers if w is large enough.