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A PROOF OF THE UNIFORMIZATION THEOREM FOR ARBITRARY PLANE DOMAINS
UNIFORMIZATION THEOREM ARBITRARY PLANE DOMAINS
2015/8/26
We present a simple constructive proof of the Uniformization Theorem which works for plane domains. The proof is a combination of covering space theory and Koebe's constructive proof of the Riemann ma...
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
oundary integral equations Nystrom discretization Singular integrals Nearly singular integrals Fast solvers Laplace equation Stokes equation Navier equation Fast multipole method Fast Fourier transform
2015/7/14
We present a high-order boundary integral equation solver for 3D elliptic boundary value problems on domains with smooth boundaries. We use Nystro ¨m’s method for discretization, and combine it with s...
Semi-linear equations and principal eigenvalues in unbounded domains
Semi-linear equations principal eigenvalues unbounded domains
2015/4/3
Semi-linear equations and principal eigenvalues in unbounded domains.
D-bar and Dirac Type Operators on Classical and Quantum Domains
Dirac Operators Noncommutative Geometry
2015/1/19
I study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the in...
Discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains
Discontinuous Galerkin method time-domain electromagnetics curvilinear domains
2010/9/21
Discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains.
The mixed boundary value problem for semilinear elliptic equation in domains with edges
mixed boundary value problem domain with edges
2010/9/25
In this paper, we prove the existence and uniqueness of generalized solution of the mixed boundary value problem for semilinear elliptic equation in domains with edges. In addition, some results on sm...
We propose a method to construct ``large'' Condorcet domains by use of so-called rhombus tilings. Then we explain that this method fits to unify several previously known constructions of Condorcet dom...
Modeling micro-macro pedestrian counterflow in heterogeneous domains
Modeling micro-macro heterogeneous domains
2010/11/11
We present a micro-macro strategy able to describe the dynamics of crowds in heterogeneous media. Herein we focus on the example of pedestrian counterflow. The main working tools include the use of ma...
On polygonal domains with trigonometric eigenfunctions of the Laplacian under Dirichlet or Neumann boundary conditions
polygonal domains trigonometric eigenfunctions
2010/9/14
A classification of all polygonal domains possessing a complete set of trigonometric eigenfunctions of the Laplacian under either Dirichlet or Neumann boundary conditions is developed. Polygonal domai...
Comparison of Green Functions for Generalized Schrödinger Operators on $C^{1,1}$-Domains
Green function Schrö dinger operator $3G$-Theorem
2008/7/1
Comparison of Green Functions for Generalized Schrödinger Operators on $C^{1,1}$-Domains.
Second Order Differential Subordinations of Holomorphic Mappings on Bounded Convex Balanced Domains in $C^n$
Differential subordination biholomorphic convex mapping convex balanced domain Minkowski functional
2008/6/27
Second Order Differential Subordinations of Holomorphic Mappings on Bounded Convex Balanced Domains in $C^n$.
New multi-domains image watermarking method based on multi-watermarks embedding and neural network segmentation
Image watermarking Neural network segmentation
2010/9/15
The need for a robust method that protects owner rights against unintended or malicious stealing, which has arisen because of the rapid increase of Internet data exchange and multimedia use, in additi...