The first part of the paper is a survey of some of the results previously obtained by the authors concerning the Lp-dissipativity of scalar and matrix partial differential operators. In the second part we give new necessary and, separately, sufficient conditions for the Lp-dissipativity of the “complex oblique derivative” operator. In the case of real coefficients we provide a necessary and sufficient condition. We prove also the Lp-positivity for a certain class of integral operators.
The L^p-dissipativity of certain differential and integral operators
Cialdea, Alberto;
2019-01-01
Abstract
The first part of the paper is a survey of some of the results previously obtained by the authors concerning the Lp-dissipativity of scalar and matrix partial differential operators. In the second part we give new necessary and, separately, sufficient conditions for the Lp-dissipativity of the “complex oblique derivative” operator. In the case of real coefficients we provide a necessary and sufficient condition. We prove also the Lp-positivity for a certain class of integral operators.File in questo prodotto:
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