The Lp-dissipativity of certain differential and integral operators

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. ©2019 American Mathematical Society.

Authors
Cialdea A.1 , Maz’ya V. 2, 3, 4
Collection of articles
Contemporary Mathematics
Publisher
American Mathematical Society
Language
English
Pages
77-93
Status
Published
DOI
10.1090/conm/734/14764
Volume
734
Year
2019
Organizations
  • 1 Dipartimento di Matematica, Economia ed Informatica, University of Basilicata, V.le dell’Ateneo Lucano 10, Potenza, 85100, Italy
  • 2 Department of Mathematical Sciences, M& O Building, University of Liverpool, Liverpool, L69 7ZL, United Kingdom
  • 3 Department of Mathematics, Linköping University, Linköping, SE-581 83, Sweden
  • 4 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65815/
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