DirichlettoNeumann operator on a bounded domain. Consider a steadystate distribution of temperature in a body for given temperature values on the body surface. Then the resulting heat flux through the boundary (that is, the heat flux that would be required to maintain the given surface temperature) is determined uniquely. The The spectral theory of the NeumannPoincare operator and plasmon resonance Hyeonbae Kang (Inha University) NP Spectrum on domains with corners If a domain has a corner, then the NP operator is a singular integral Spectral Analysis of the NeumannPoincar Operator and Characterization of the Stress Concentration in AntiPlane Elasticity Habib Ammari, Giulio Ciraolo, Hyeonbae Kang, Hyundae Lee& KiHyun Yun Communicated by P.
Rabinowitz Abstract When holes or hard elastic inclusions are closely located, stress which is the Abstract: The aim of this paper is to give a mathematical justification of cloaking due to anomalous localized resonance (CALR).
We consider the dielectric problem with a source term in a structure with a layer of plasmonic material. Using layer potentials and symmetrization techniques, we give a necessary and sufficient condition on the fixed COMPACTNESS OF THE NEUMANNPOINCAR OPERATOR BY E. J. SPECHT AND H. T. JONESf1) 1. Introduction. The NeumannPoincar integral equation arises in connection with the Dirichlet and Neumann problems of potential theory and in connection with conformai mapping.
In mathematics, the NeumannPoincar operator or PoincarNeumann operator, named after Carl Neumann and Henri Poincar, is a nonselfadjoint compact operator introduced by Poincar to solve boundary value problems for the Laplacian on bounded domains in Euclidean space. ON THE NEUMANNPOINCARE OPERATOR JOSEF KRAL and DAGMAR MEDKOVA, Praha (Received August 23, 1995) Abstract. Let F be a rectifiable Jordan curve in the finite complex plane C which is regular in the sense of Ahlfors and David.
Denote by L2(T) the space of all complex NeumannPoincar e operator Lims result: K D K (KD is selfadjoint) i D is a disk. Symmetrization technique: based on a Calder on identity a general theorem on symmetrization of nonselfadjoint operators.