Reflection principles for harmonic and polyharmonic functions

DOI10.1016/0022-247X(78)90200-7zbMath0389.31004MaRDI QIDQ1250910

David H. Armitage

Publication date: 1978

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

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (6)

On polyharmonic continuation by reflection formulas ⋮ On \(\mathrm{Lip}( \omega )\)-continuity of the operator of harmonic reflection over boundaries of simple Carathéodory domains ⋮ Convergence of solutions to the classic dual cosine equation ⋮ On -reflection of harmonic functions and -approximation by harmonic polynomials ⋮ Reflection principle for the complex Monge-Ampère equation and plurisubharmonic functions ⋮ Reflection principle for classical solutions of the homogeneous real Monge–Ampère equation

Cites Work

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• Reflection of polyharmonic functions
• Continuation of biharmonic functions by reflection
• A Polyharmonic Generalization of a Theorem on Harmonic Functions
• Potential theory

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