Properties of solutions of a class of hypocomplex vector fields

DOI10.1090/conm/681/13660zbMath1362.35088arXiv1511.02098OpenAlexW2148334188MaRDI QIDQ2975209

Abdelhamid Meziani, Paulo L. Dattori da Silva, Carlos Campañá

Publication date: 11 April 2017

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02098

zbMATH Keywords

Cauchy type integral operatorHölder solvability

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Boundary value problems for linear first-order PDEs (35F15) Boundary value problems for PDEs of mixed type (35M12)

Related Items (8)

Boundary value problems for a class of planar complex vector fields ⋮ A class of planar vector fields with homogeneous singular points: solvability and boundary value problems ⋮ A Łojasiewicz inequality in hypocomplex structures of ℝ² ⋮ Solvability in the large and boundary value problems for Mizohata type operators ⋮ A Runge theorem for generalized analytic functions ⋮ Class of hypocomplex structures on the two-dimensional torus ⋮ Strong uniqueness results for first-order planar equations ⋮ Cauchy integral operator in complex structures with degeneracies

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• A similarity principle for complex vector fields and applications
• On first and second order planar elliptic equations with degeneracies
• On a Converse of the Holder Inequality
• An outline of the theory of pseudoanalytic functions
• Representation of solutions of a singular Cauchy–Riemann equation in the plane

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