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MR2819690 60J35 (47D07 47G20 60G51 60J75)
Chen, Zhen-Qing; Kim, Panki; Song, Renming Heat kernel estimates for $\Delta+\Delta^{\alpha/2}$ in $C^{1,1}$ open sets. J. Lond. Math. Soc. (2) 84 (2011), no. 1, 58–80.
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