Boundary value problems for second-order elliptic operators with complex coefficients
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Publication:2210891
DOI10.2140/apde.2020.13.1897zbMath1458.35153arXiv1810.10366OpenAlexW3105231677MaRDI QIDQ2210891
Publication date: 9 November 2020
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.10366
Related Items
A survey of functional and Lp-dissipativity theory, Trilinear embedding for divergence-form operators with complex coefficients, Carleson perturbations for the regularity problem, The functional dissipativity of certain systems of partial differential equations, Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions, Criterion for the functional dissipativity of the Lamé operator, The \(p\)-ellipticity condition for second order elliptic systems and applications to the Lamé and homogenization problems, Criterion for the functional dissipativity of second order differential operators with complex coefficients
Cites Work
- The \(L^p\) Dirichlet problem for elliptic systems on Lipschitz domains
- Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems
- The \(L^p\) Dirichlet problem for second order elliptic operators and a \(p\)-adapted square function
- Criteria for the \(L^p\)-dissipativity of systems of second order differential equations
- Some new function spaces and their applications to harmonic analysis.
- The Dirichlet problem for the biharmonic equation in a Lipschitz domain
- The Neumann problem for elliptic equations with non-smooth coefficients
- A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
- Regularity theory for solutions to second order elliptic operators with complex coefficients and the \(L^{p}\) Dirichlet problem
- Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators
- Convexity of power functions and bilinear embedding for divergence-form operators with complex coefficients
- The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients
- \(H^p\) spaces of several variables
- Criterion for the \(L^p\)-dissipativity of second order differential operators with complex coefficients
- Lp resolvent estimates for variable coefficient elliptic systems on Lipschitz domains
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- The Dirichlet problem for elliptic equations with drift terms