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Analysis of Heat Equations on Domains. (LMS-31) by El-Maati Ouhabaz

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Chapter Three

INEQUALITIES FOR SUB-MARKOVIAN SEMIGROUPS

In this chapter we prove certain inequalities for sub-Markovian semigroups and their generators. A relationship between the sub-Markovian property and Kato type inequalities for the generator is established. This completes some of the results of Section 2.2. Note that the operators in consideration here are not necessarily associated with sesquilinear forms.

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3.1 SUB-MARKOVIAN SEMIGROUPS AND KATOTYPE INEQUALITIES

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3.2 FURTHER INEQUALITIES AND THE CORRESPONDING DOMAIN IN

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