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The domain of analyticity of Dirichlet–Neumann operators
- Source :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 140:367-389
- Publication Year :
- 2010
- Publisher :
- Cambridge University Press (CUP), 2010.
-
Abstract
- Dirichlet–Neumann operators arise in many applications in the sciences, and this has inspired a number of studies on their analytical properties. In this paper we further investigate the analyticity properties of Dirichlet–Neumann operators as functions of the boundary shape. In particular, we study the size of the disc of convergence of their Taylor-series representation. For this we use a complexification technique which requires a novel reformulation of the problem, coupled with methods for systems of elliptic partial differential equations. Numerical results to illustrate our theoretical conclusions are presented.
- Subjects :
- symbols.namesake
Elliptic partial differential equation
General Mathematics
Dirichlet boundary condition
Mathematical analysis
Neumann boundary condition
Free boundary problem
symbols
Cauchy boundary condition
Boundary value problem
Elliptic boundary value problem
Poincaré–Steklov operator
Mathematics
Subjects
Details
- ISSN :
- 14737124 and 03082105
- Volume :
- 140
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Accession number :
- edsair.doi...........9dbc710ebdc4c6e7313486b762caec32