Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficients

Details Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficients Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficients

2011-01-20

arxiv.org/abs/1101.3978v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

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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