Regularizing effect of the interplay between coefficients in some elliptic equations

Arcoya David; Boccardo Lucio

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Regularizing effect of the interplay between coefficients in some elliptic equations

机译：某些椭圆方程系数间相互作用的正则化效应

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摘要

We study the regularizing effect of the interaction between the coefficient of the zero order term and the datum in some nonlinear Dirichlet problems.

机译：我们研究了一些非线性Dirichlet问题中零阶项系数与基准之间相互作用的正则化效应。

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来源
《Journal of Functional Analysis》 |2015年第5期|共14页
作者
Arcoya David; Boccardo Lucio;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Linear and nonlinear elliptic equations; Natural growth with respect to the gradient; L-1 coefficients; Regularizing effect;

机译：线性和非线性椭圆方程;关于梯度的自然增长;L-1系数;正则化效应;

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专利

1. Regularizing effect of L-q interplay between coefficients in some elliptic equations [J] . Arcoya David, Boccardo Lucio Journal de Mathematiques Pures et Appliquees . 2018,第期

机译：一些椭圆方程中系数之间的L-Q相互作用的规律效果
2. A regularization method for the approximate particular solution of nonhomogeneous Cauchy problems of elliptic partial differential equations with variable coefficients [J] . Ming Li, Wen Chen, C.H. Tsai Engineering analysis with boundary elements . 2012,第3期

机译：变系数椭圆型偏微分方程非齐次Cauchy问题近似特解的正则化方法。
3. Convergence rates for total variation regularization of coefficient identification problems in elliptic equations i [J] . Hào D.N., Quyen T.N.T. Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data . 2011,第7期

机译：椭圆方程i中系数识别问题的总变化正则化的收敛速度
4. Fourier Regularization Methods for the Cauchy Problem of an Elliptic Equation with Variable Coefficients [C] . Ailin Qian, Jianfeng Mao Intelligent System Design and Engineering Application (ISDEA), 2012 Second International Conference on . 2012

机译：变系数椭圆方程柯西问题的傅里叶正则化方法
5. Gradient estimates for solutions to divergence form elliptic equations with piecewise constant coefficients in dimension N. [D] . Al-Yasiri, Khaldoun. 2016

机译：散度解的梯度估计形成维度为N的分段常数系数为椭圆的方程。
6. The Dirichlet Problem for Linear Elliptic Equations of Arbitrary Even Order with Variable Coefficients [O] . Felix E. Browder 1952

机译：变系数任意偶数线性椭圆方程的Dirichlet问题。
7. The role of interplay between coefficients in the $G$-convergence of some elliptic equations [O] . Boccardo, Lucio, Orsina, Luigi, Ponce, Augusto C. 2016

机译：$ G $收敛系数之间的相互作用一些椭圆方程
8. Dynamic ADI Methods for Elliptic Equations with Gradient Dependent Coefficients [R] . Doss, S. 1977

机译：具有梯度相关系数的椭圆方程的动态aDI方法

Regularizing effect of the interplay between coefficients in some elliptic equations

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