Fundamental solutions of a class of first-order linear elliptic systems

DOI10.1080/17476933.2012.678994zbMath1276.35005OpenAlexW2042710269MaRDI QIDQ2855453

Le Hung Son, Doan Cong Dinh

Publication date: 25 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.678994

zbMATH Keywords

Levi functionsCauchy-Riemann type system

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) First-order elliptic systems (35J46) Systems of linear first-order PDEs (35F35)

Cites Work

• Negative norms and boundary problems
• To the theory of the Dirichlet and Neumann problems for strongly elliptic systems in Lipschitz domains
• On E. E. Levi's method of constructing a fundamental solution for second- order elliptic equations
• Maximum principles for a class of first-order elliptical systems
• Representations of solutions of a special class of first order systems
• A Cauchy integral formula for a class of elliptic systems of partial differential equations of first order in the space
• Representation of Generalized Analytic Vectors in Matrix Form
• Unique continuation for some systems of partial differential equations

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