Convexity of power functions and bilinear embedding for divergence-form operators with complex coefficients

DOI10.4171/JEMS/984zbMath1458.35148arXiv1611.00653OpenAlexW3041197999MaRDI QIDQ2216734

Oliver Dragičević, Andrea Carbonaro

Publication date: 17 December 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00653

zbMATH Keywords

contractivity of semigroupselliptic PDEs with complex coefficients

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Second-order elliptic equations (35J15)

Related Items (21)

Regularity theory for solutions to second order elliptic operators with complex coefficients and the \(L^{p}\) Dirichlet problem ⋮ A survey of functional and Lp-dissipativity theory ⋮ Bellman functions and dimension free \(L^p\)-estimates for the Riesz transforms in Bessel settings ⋮ Sectoriality of degenerate elliptic operators via \(p\)-ellipticity ⋮ Trilinear embedding for divergence-form operators with complex coefficients ⋮ 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 ⋮ Bilinear embedding in Orlicz spaces for divergence-form operators with complex coefficients ⋮ Boundary value problems for second-order elliptic operators with complex coefficients ⋮ The \(p\)-ellipticity condition for second order elliptic systems and applications to the Lamé and homogenization problems ⋮ On sectoriality of degenerate elliptic operators ⋮ Criterion for the functional dissipativity of second order differential operators with complex coefficients ⋮ The Dirichlet problem in domains with lower dimensional boundaries ⋮ On the numerical range of second-order elliptic operators with mixed boundary conditions in \(L^p\) ⋮ Perturbation theory for solutions to second order elliptic operators with complex coefficients and the \(L^p\) Dirichlet problem ⋮ A new elliptic measure on lower dimensional sets ⋮ On the \(\mathrm{L}^p\)-theory for second-order elliptic operators in divergence form with complex coefficients ⋮ Extrapolation of the Dirichlet problem for elliptic equations with complex coefficients

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