We consider the family of second order elliptic operators [Formula presented] a>0, b,c∈R, which includes the Schrödinger operator with inverse square potential, and we prove optimal upper bounds for the heat kernel.
Optimal kernel estimates for elliptic operators with second order discontinuous coefficients
Calvaruso G.;Metafune G.
;Negro L.;Spina C.
2020-01-01
Abstract
We consider the family of second order elliptic operators [Formula presented] a>0, b,c∈R, which includes the Schrödinger operator with inverse square potential, and we prove optimal upper bounds for the heat kernel.File in questo prodotto:
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2020-Optimal kernel estimates for elliptic operators.pdf
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