We prove short time estimates for the heat kernel of Schroedinger operators with unbounded potential in the whole of the Euclidean N-dimensional space. Integral upper bounds are found in terms of suitable Lyapuniv functions and pointwise esytimates are derived.
Kernel Estimates for Schroedinger Operators
METAFUNE, Giorgio Gustavo Ermanno;PALLARA, Diego;
2006-01-01
Abstract
We prove short time estimates for the heat kernel of Schroedinger operators with unbounded potential in the whole of the Euclidean N-dimensional space. Integral upper bounds are found in terms of suitable Lyapuniv functions and pointwise esytimates are derived.File in questo prodotto:
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