On the \(L^{p}\)-Poisson semigroup associated with elliptic systems

DOI10.1007/s11118-017-9620-3zbMath1380.35080arXiv1409.2614OpenAlexW1416844252MaRDI QIDQ1681861

Marius Mitrea, Irina Mitrea, Dorina Mitrea, José Maria Martell

Publication date: 24 November 2017

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2614

zbMATH Keywords

Poisson semigroupsecond order elliptic systemDirichlet-to-normal map

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Integral representations of solutions to PDEs (35C15) Second-order elliptic systems (35J47) (C)-semigroups, regularized semigroups (47D60) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO ⋮ On uniqueness results for Dirichlet problems of elliptic systems without de Giorgi-Nash-Moser regularity ⋮ Fatou-type theorems and boundary value problems for elliptic systems in the upper half-space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dirichlet problem for elliptic systems with data in Köthe function spaces
• Multi-layer potentials and boundary problems for higher-order elliptic systems in Lipschitz domains
• Semigroups of linear operators and applications to partial differential equations
• Clifford wavelets, singular integrals, and Hardy spaces
• Area integral estimates for higher order elliptic equations and systems
• Dilation invariant estimates and the boundary Gårding inequality for higher order elliptic operators
• The higher order regularity Dirichlet problem for elliptic systems in the upper-half space
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Poisson Semigroups and Singular Integrals
• A Generalization of a Theorem of Euler
• On Dahlberg's Lusin Area Integral Theorem
• 𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Distributions, partial differential equations, and harmonic analysis

This page was built for publication: On the \(L^{p}\)-Poisson semigroup associated with elliptic systems