Failure of Fredholm solvability for the Dirichlet problem corresponding to weakly elliptic systems

DOI10.1007/S13324-021-00521-4zbMath1467.35143OpenAlexW3142816047MaRDI QIDQ2030276

Marius Mitrea, Dorina Mitrea, Irina Mitrea

Publication date: 7 June 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-021-00521-4

zbMATH Keywords

Dirichlet problemupper half-spaceBitsadze's operatorLegendre-Hadamard ellipticityweakly elliptic system

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Integral representations of solutions to PDEs (35C15) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Harmonic analysis and PDEs (42B37) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• The Dirichlet problem for elliptic systems with data in Köthe function spaces
• A Sharp Divergence Theorem with Nontangential Traces
• Fatou-type theorems and boundary value problems for elliptic systems in the upper half-space
• On the Behaviour of Harmonic Functions at the Boundary
• Distributions, partial differential equations, and harmonic analysis

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