We show that certain second order, degenerate elliptic, differential operators on $L^2(\mathbb{R}^d;\mathbb{C})$ with complex and possibly singular coefficients, arising in models of open quantum systems, generate strongly continuous contraction semigroups.
Generation of Semigroups by Degenerate Elliptic Operators Arising in Open Quantum Systems
FAGNOLA, FRANCO;
2013-01-01
Abstract
We show that certain second order, degenerate elliptic, differential operators on $L^2(\mathbb{R}^d;\mathbb{C})$ with complex and possibly singular coefficients, arising in models of open quantum systems, generate strongly continuous contraction semigroups.File in questo prodotto:
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