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Boundary Regularity of Isometries Between Infinitely Flat Complex Domains
In this paper we prove that isometries with respect to the Kobayashi metric between certain domains having boundary points at which the boundary is...
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Three Boundary Value Problems for Complex Partial Differential Equations in the Lens Domain
AbstractIn this paper, we investigate some boundary value problems for the Cauchy–Riemann equations in the lens domain M . We apply the...
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Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting
A new reformulation of a free boundary problem for the Stokes equations, which govern a viscous flow with an overdetermined condition on the free...
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Cauchy type integrals and a boundary value problem in a complex Clifford analysis
Clifford analysis is an important branch of modern analysis; it has a very important theoretical significance and application value, and its...
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G-invariant Bergman kernel and geometric quantization on complex manifolds with boundary
Let M be a complex manifold with smooth boundary X , which admits a compact connected Lie group G acting holomorphically and preserving X . We...
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Investigation of a class of differential equations of complex order with boundary conditions
In this manuscript, a class of boundary value problems (BVPs) of complex order fractional differential equations (COFDEs) using the Caputo–Fabrizio...
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The Problem of Complex Heat Transfer with Cauchy-Type Conditions on a Part of the Boundary
AbstractThe paper considers a boundary value problem for stationary equations of complex heat transfer with an undetermined boundary condition for...
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Analysis and Numerical Simulation of the Initial–Boundary Value Problem for Quasilinear Equations of Complex Heat Transfer
AbstractWe consider an initial–boundary value problem for quasilinear equations of complex heat transfer that model the process of endovenous laser...
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Estimates for λ-Spirallike Functions of Complex Order on the Boundary
We give some results obtained for λ-spirallike functions of complex order on the boundary of the unit disc U. The sharpness of these results is also...
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Why Boundary Regularity?
In this chapter we present some classical results in several complex variables that relate boundary smoothness of domains with the geometric...
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Dynamics and synchronization of complex neural networks with boundary coupling
A new mathematical model for complex neural networks of the partly diffusive Hindmasrh-Rose equations with boundary coupling is proposed. Through...
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Finite Element Approximation of Boundary Value Problems
This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. The author...
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Reconstruction from Boundary Measurements: Complex Conductivities
In this paper we show that following Nachman’s method we can still reconstruct complex conductivities in Csp1, 1 from its Dirichlet-to-Neumann map in...
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Boundary values of pluriharmonic functions with Bott-Chern cohomology
The main purpose of this paper is to investigate the relationship between continuation of pluriharmonic functions from the boundary of an unbounded...
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On Operator Estimates for Elliptic Operators with Mixed Boundary Conditions in Two-Dimensional Domains with Fast Oscillating Boundary
AbstractWe consider a second-order elliptic operator with sufficiently smooth variable coefficients in an arbitrary two-dimensional domain with...
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Endogenous Boundary Value Problems
Continuing the unified approach, we will first solve abstract equations involving a maximal operator of differential quadruplets. Next these...
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A Simple Boundary Value Problem
This chapter details a simple diffusion model as a prototype of a boundary value problem based on a linear, scalar, stationary partial differential...