Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficients

arxiv: 1101.3978 · v1 · pith:IEEX5MLQnew · submitted 2011-01-20 · 🧮 math.AP

Giorgio Metafune , Chiara Spina This is my paper

classification 🧮 math.AP

keywords heatinequalitieskernelalphaboundscoefficientsdeltadiffusion

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We prove heat kernel bounds for the operator (1 + |x|^{\alpha})\Delta in R^N, through Nash inequalities and weighted Hardy inequalities.

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