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Periodic Orbits in a Second-Order Discontinuous System with an Elliptic Boundary

International Journal of Bifurcation and Chaos, 2016
This paper develops the analytical conditions for the onset and disappearance of motion passability and sliding along an elliptic boundary in a second-order discontinuous system. A periodically forced system, described by two different linear subsystems, is considered mainly to demonstrate the methodology.
Li, Liping, Luo, Albert C. J.
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Analyticity of solutions for semilinear elliptic systems of second order

Calculus of Variations and Partial Differential Equations, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis

Advances in Applied Clifford Algebras
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Alfonso Santiesteban   +2 more
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The Dirichlet problem for a Petrovskiî elliptic system of second-order equations

Siberian Mathematical Journal, 1999
The apparatus of singular integral equations is applied to studying the Dirichlet problem for the system \[ -\Delta u_j + \lambda_j\frac{\partial}{\partial x_j}\sum_{i=1}^n \frac{\partial u_i}{\partial x_i} = 0,\qquad j=1,\dots, n. \] The main results of the article are as follows: Theorem 1. If the parameters \(\lambda_j\) of the system satisfy either
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∂¯‐problem for a second‐order elliptic system in Clifford analysis

Mathematical Methods in the Applied Sciences
In the framework of Clifford analysis, we study a second‐order elliptic (generally nonstrongly elliptic) system of partial differential equations of the form: , where stands for the Dirac operator with respect to a structural set . The solutions of this system are known as ‐inframonogenic functions.
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Multi‐breather and high‐order rogue waves for the nonlinear Schrödinger equation on the elliptic function background

Studies in Applied Mathematics, 2020
Bao-Feng Feng   +2 more
exaly  

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

SIAM Journal on Numerical Analysis, 2002
Douglas N Arnold   +2 more
exaly  

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