Remarks on the reflection principle for harmonic functions
From MaRDI portal
Publication:913034
DOI10.1007/BF02796142zbMath0699.31016OpenAlexW2004464135MaRDI QIDQ913034
Harold S. Shapiro, Dmitry Khavinson
Publication date: 1990
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02796142
Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary behavior of harmonic functions in higher dimensions (31B25) Higher-dimensional potential theory (31B99)
Related Items
On reflection formulas for higher order elliptic equations ⋮ Extension results for harmonic functions which vanish on cylindrical surfaces ⋮ On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\) ⋮ Extension theorems for harmonic functions which vanish on a subset of a cylindrical surface ⋮ On \(\mathrm{Lip}( \omega )\)-continuity of the operator of harmonic reflection over boundaries of simple Carathéodory domains ⋮ On -reflection of harmonic functions and -approximation by harmonic polynomials ⋮ On non-local reflection for elliptic equations of the second order in $\mathbb{R}^{2}$ (the Dirichlet condition) ⋮ Harmonic extension from the exterior of a cylinder ⋮ Harmonic functions which vanish on a cylindrical surface ⋮ The Schwarz reflection principle for harmonic functions in \(\mathbb R^2\) subject to the Robin condition ⋮ On the dependence of the reflection operator on boundary conditions for biharmonic functions ⋮ Reflection formulas and continuation of solutions of boundary-value problems ⋮ On reflection principles supported on a finite set ⋮ Uniqueness to inverse acoustic scattering from coated polygonal obstacles with a single incoming wave ⋮ From reflections to a uniform elliptic growth ⋮ A note on the Schwarz reflection principle for polyharmonic functions ⋮ Potential theory and approximation: highlights from the scientific work of Stephen Gardiner ⋮ On Dirichlet to Neumann and Robin to Neumann operators suitable for reflecting harmonic functions subject to a non-homogeneous condition on an arc ⋮ Harmonic functions which vanish on coaxial cylinders
Cites Work
- A survey of I. N. Vekua's theory of elliptic partial differential equations with analytic coefficients
- On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
- On the reflection laws of second order differential equations in two independent variables
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
