Representations of solutions of a special class of first order systems

DOI10.1016/0022-0396(77)90054-7zbMath0371.35005OpenAlexW1990149410MaRDI QIDQ1243416

Gerald N. Hile

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90054-7

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10) Linear first-order PDEs (35F05) Partial differential equations and systems of partial differential equations with constant coefficients (35E99)

Related Items

Clifford analysis with generalized elliptic and quasi elliptic functions, Representation of solutions of Lamé-Navier system, Solutions of Lamé-Navier system in ball shell domain, Solutions of polyharmonic Dirichlet problems derived from general solutions in the plane, Hilbert function modules with reproducing kernels, Analysis and Applications of Holomorphic Functions in Higher Dimensions, A class of hyperbolic operators with double involutive characteristics of fuchsian type, Function theory for a class of elliptic systems in the plane, Fundamental solutions of a class of first-order linear elliptic systems

Cites Work

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• Maximum principles for a class of first-order elliptical systems
• On regular-analytic functions with values in a Clifford-algebra
• On the singularities of functions with values in a Clifford algebra
• Hyperkomplexe Differentiale
• A function‐theoretic approach to elliptic systems of equations in two variables