Contraction semigroups of elliptic quadratic differential operators |
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Authors: | Karel Pravda-Starov |
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Institution: | (1) Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA |
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Abstract: | We study the contraction semigroups of elliptic quadratic differential operators. Elliptic quadratic differential operators
are the non-selfadjoint operators defined in the Weyl quantization by complex-valued elliptic quadratic symbols. We establish
in this paper that under the assumption of ellipticity, as soon as the real part of their Weyl symbols is a non-zero non-positive
quadratic form, the norm of contraction semigroups generated by these operators decays exponentially in time. |
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Keywords: | 47D06 47F05 |
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