Bernstein estimates: Weakly coupled systems and integral equations

Gomes D.A.; Terrone G.

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Bernstein estimates: Weakly coupled systems and integral equations

机译：伯恩斯坦估计：弱耦合系统和积分方程

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In this paper we extend the classical Bernstein estimates for sys-tems of weakly coupled fully non-linear elliptic equations as well as scalar elliptic equations with non-local integral terms and singular kernels.

机译：在本文中，我们扩展了弱耦合完全非线性椭圆方程组以及具有非局部积分项和奇异核的标量椭圆方程组的经典伯恩斯坦估计。

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《Communications on pure and applied analysis》 |2012年第3期|共8页
作者
Gomes D.A.; Terrone G.;
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正文语种 eng
中图分类数学;
关键词
Bernstein estimate; Fractional laplacian; Maximum principles; Singular integral operators; Systems of fully non-linear elliptic equations; Weak coupling;

机译：Bernstein估计;分数拉普拉斯算子;最大原理;奇异积分算子;完全非线性椭圆方程组;弱耦合;

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1. Bernstein estimates: Weakly coupled systems and integral equations [J] . Gomes D.A., Terrone G. Communications on pure and applied analysis . 2012,第3期

机译：伯恩斯坦估计：弱耦合系统和积分方程
2. Weak Solutions of a Coupled System of Urysohn-Stieltjes Functional (Delayed) Integral Equations [J] . El-Sayed A. M. A., Al-Fadel M. M. A. Complexity . 2018,第1期

机译：Urysohn-Stieltjes泛函（延迟）积分方程组的弱解
3. Weak Solutions of a Coupled System of Urysohn-Stieltjes Functional (Delayed) Integral Equations [J] . El-Sayed A. M. A., Al-Fadel M. M. A. Complexity . 2018,第2期

机译：Urysohn-Stieltjes功能（延迟）积分方程的耦合系统弱解
4. A New Method Based on Operational Matrices of Bernstein Polynomials for Nonlinear Integral Equations [C] . K. Maleknejad, B. Basirat, E. Hashemizadeh International Conference on Scientific Computing . 2011

机译：一种基于非线性整体方程的伯恩斯坦多项式运算矩阵的一种新方法
5. CONVERGENCE AND SUPERCONVERGENCE OF NUMERICAL SOLUTIONS OF WEAKLY SINGULAR INTEGRAL AND DIFFERENTIAL EQUATIONS (GALERKIN, COLLOCATION, EIGENVALUES, EIGENVECTORS, SPLINES) [D] . LEBBAR, RACHID. 1986

机译：弱奇异积分和微分方程数值解的收敛性和超级度验收（Galerkin，Collocation，特征值，特征向量，花键）
6. Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations [O] . Michael Feischl, Gregor Gantner, Dirk Praetorius -1

机译：弱奇异积分方程的自适应IGA边界元方法的可靠高效后验误差估计
7. Using of Bernstein spectral Galerkin method for solving of weakly singular Volterra–Fredholm integral equations [O] . Majid Erfanian, Hamed Zeidabadi 2018

机译：伯恩斯坦光谱Galerkin方法解决弱奇异Volterra-Fredholm整体方程的求解方法
8. Numerical Quadrature Methods for Integrals of Singular Periodic Functions and Their Application to Singular and Weakly Singular Integral Equations [R] . Sidi, A., Israeli, M. 1986

机译：奇异周期函数积分的数值求积方法及其在奇异和弱奇异积分方程中的应用

Bernstein estimates: Weakly coupled systems and integral equations

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