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Parabolic Harnack inequality for the heat equation with inverse-square potential
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and
Published/Copyright:
June 14, 2007
Abstract
A parabolic Harnack inequality for the equation 
is proved; in particular, this implies a sharp two-sided estimate for the associated heat kernel. Our approach relies on the unitary equivalence between the Schrödinger operator 
and the weighted Laplacian 
when 
.
Received: 2005-04-27
Revised: 2005-08-08
Published Online: 2007-06-14
Published in Print: 2007-05-23
© Walter de Gruyter
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- Induction Theorems and Isomorphism Conjectures for K- and L-Theory
- Parabolic Harnack inequality for the heat equation with inverse-square potential
- Asymptotic behavior of flows in networks
- Examples of miniversal deformations of infinity algebras
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Articles in the same Issue
- Induction Theorems and Isomorphism Conjectures for K- and L-Theory
- Parabolic Harnack inequality for the heat equation with inverse-square potential
- Asymptotic behavior of flows in networks
- Examples of miniversal deformations of infinity algebras
- Spinor L-functions, theta correspondence, and Bessel coefficients
- Relating Postnikov pieces with the Krull filtration: a spin-off of Serre's theorem
- A compactness criterion for real plane algebraic curves
