Generalized riemann-hilbert problem

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On the Riemann‐Hilbert boundary value problem for generalized analytic functions in the framework of variable exponent spaces

Mathematical Methods in the Applied Sciences, 2017
Let Γ be a simple closed curve that bounds the finite domain D, z=z(ζ)=z(reiϑ) be the conformal mapping of the circle {ζ:|ζ|<1} onto the domain D. Furthermore, let the functions A(z), B(z) be given on D and Us,2(A;B;D) be the set of regular solutions of the equation .We call the Smirnov class Ep(t)(A;B;D) the set of those generalized functions Win ...
V. Kokilashvili, V. Paatashvili
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Exact solution of the reaction-diffusion problem for a particle generating band on a surface by Riemann-Hilbert matching

Journal of Physics A: Mathematical and General, 1995
The authors give a precise analytic solution for the diffusion-reaction problem of a zero-height generating band situated on a reacting infinite plane. The problem is formulated from redox reactions on micro-electrodes; and thus, is connected with important applications in micro-electrode sensors and molecular electronic devices.
Brodsky, A. M., Reinhardt, W. P.
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A Riemann-Hilbert discontinuous boundary value problem for a generalized analytic vector

1982
The Riemann-Hilbert boundary value problem with piecewise continuous coefficients for a generalized analytic vector is considered. Necessary and sufficient conditions for the solvability and the index formula of this problem in a weighted Banach space \(L_ p(\rho)\) are established.
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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach

Ca-A Cancer Journal for Clinicians, 2022
Grace Li Smith +2 more
exaly

A Riemann–Hilbert Type Problem for the Generalized Cauchy–Riemann Equation with Supersingular Points on a Half-Plane