On \(p\)-elliptic divergence form operators and holomorphic semigroups

DOI10.1007/s00028-019-00537-1OpenAlexW2905661997WikidataQ127131502 ScholiaQ127131502MaRDI QIDQ2195107

Moritz Egert

Publication date: 7 September 2020

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09154

zbMATH Keywords

ultracontractivitydissipative operatorsoff-diagonal estimatesholomorphic semigroups\(p\)-ellipticitydivergence form operators on open sets

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Second-order elliptic equations (35J15) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (11)

A survey of functional and Lp-dissipativity theory ⋮ Sectoriality of degenerate elliptic operators via \(p\)-ellipticity ⋮ Trilinear embedding for divergence-form operators with complex coefficients ⋮ A universal variational framework for parabolic equations and systems ⋮ The functional dissipativity of certain systems of partial differential equations ⋮ Nittka's invariance criterion and Hilbert space valued parabolic equations in \(L_p\) ⋮ Generation of semigroups associated to strongly coupled elliptic operators in \(L^p (\mathbb{R}^d; \mathbb{R}^m)\) ⋮ Criterion for the functional dissipativity of the Lamé operator ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ On sectoriality of degenerate elliptic operators ⋮ On the \(\mathrm{L}^p\)-theory for second-order elliptic operators in divergence form with complex coefficients

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