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A Flett Theorem for the Riemann–Stieltjes Integral
By employing Riesz decomposition theorem about monotone functions, we prove a Flett type theorem for the Riemann–Stieltjes integral and related...
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Two-Dimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems
We are concerned with global solutions of multidimensional (M-D) Riemann problems for nonlinear hyperbolic systems of conservation laws, focusing on...
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The Riemann Problem in a Half-Plane for Generalized Analytic Functions with a Singular Line
AbstractIn this paper we have studied an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis...
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Trudinger–Moser Inequalities on a Closed Riemann Surface with a Symmetric Conical Metric
This is a continuation of our previous work ( Ann. Sc. Norm. Super. Pisa Cl. Sci. , 20 , 1295–1324, 2020). Let (Σ, g ) be a closed Riemann surface, where...
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On the Riemann problem in fractal elastic media
In this paper we study a kind of Riemann problem for the Lamé–Navier system in the plane on a smooth as well as on a fractal closed contour. By using...
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A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Coefficient
AbstractWe consider the Riemann–Hilbert problem for a singularly perturbed system of partial differential equations of the Cauchy–Riemann type....
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Riemann-Hilbert approach for the complex Sharma-Tasso-Olver equation with high-order poles
The inverse scattering transform is considered for the complex Sharma-Tasso-Olver equation with zero boundary condition by Riemann-Hilbert method....
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Riemann–Hilbert Approach and N-Soliton Solutions for a Higher-Order Coupled Nonlinear Schrödinger System
In this paper, the main work is to study the N -soliton solutions for a higher-order coupled nonlinear Schrödinger system by using the method of...
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The Riemann Problem in a Half-Plane for Generalized Analytic Functions with a Supersingular Point on the Contour of the Boundary Condition
AbstractIn this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for a...
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Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative
This study examines the reachability of a time-varying fractional dynamical system with Riemann-Liouville fractional derivative. The state transition...
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Riemann–Liouville Space of Fractional Potentials on the Half-Line
AbstractWe study the Riemann–Liouville space of fractional potentials on the half-line and establish its properties such as embeddings in Besov...
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Fourier Transform Associated with Riemann Zeta Function
AbstractThe Fourier transform associated with the normalized logarithm of the modulus of the Riemann Zeta Function is considered. The formulas...
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Boundary Controllability of Riemann–Liouville Fractional Semilinear Evolution Systems
The main objective of this work is to steer a semilinear time-fractional diffusion control system involving Riemann–Liouville fractional derivative...
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Kleinian Groups and Geometric Function Theory
A Kleinian group divides the Riemann sphere into two parts, the region of discontinuity and the limit set. We are interested in analytic properties... -
On Joint Universality of the Riemann Zeta-Function
AbstractA theorem is obtained on the approximation of a collection of analytic functions in short intervals by a collection of shifts of the...
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The Riemann Zeta Function and Kernels of Toeplitz Operators
AbstractThe functional equation for the Riemann zeta function allows us to construct a kernel of a Toeplitz operator containing a modified zeta...
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Monotonicity of Certain Left and Right Riemann Sums
In an otherwise instructive 2012 article, Szilárd András provided a flawed argument purportedly establishing that the left (resp. right) Riemann sum...