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- W2108936103 abstract "We consider a strictly elliptic operator A u = ∑ i j D i ( a i j D j u ) − b ⋅ ∇ u + div ( c ⋅ u ) − V u , where 0 ⩽ V ∈ L loc ∞ , a i j ∈ C b 1 ( R N ) , b , c ∈ C 1 ( R N , R N ) . If div b ⩽ β V , div c ⩽ β V , 0 < β < 1 , then a natural realization of A generates a positive C 0 -semigroup T in L 2 ( R N ) . The semigroup satisfies pseudo-Gaussian estimates if | b | ⩽ k 1 V α + k 2 , | c | ⩽ k 1 V α + k 2 , where 1 2 ⩽ α < 1 . If α = 1 2 , then Gaussian estimates are valid. The constant α = 1 2 is optimal with respect to this property." @default.
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- W2108936103 date "2008-02-01" @default.
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- W2108936103 title "Gaussian estimates for elliptic operators with unbounded drift" @default.
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- W2108936103 doi "https://doi.org/10.1016/j.jmaa.2007.05.006" @default.
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