Two-Phase Problems for Linear Elliptic Operators with Variable Coefficients: Lipschitz Free Boundaries are C 1,γ

M. Cristina Cerutti; Fausto Ferrari; Sandro Salsa

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Two-Phase Problems for Linear Elliptic Operators with Variable Coefficients: Lipschitz Free Boundaries are C 1,γ

机译：变系数线性椭圆算子的两相问题：Lipschitz自由边界为C 1，γ

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摘要

We prove C 1,γ regularity of Lipschitz free boundaries of two-phase problems for linear elliptic operators with Hölder continuous coefficients.

机译：我们证明了具有Hölder连续系数的线性椭圆算子两相问题的Lipschitz自由边界的C 1，γ正则性。

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《Archive for Rational Mechanics and Analysis》 |2004年第3期|329-348|共20页
作者
M. Cristina Cerutti; Fausto Ferrari; Sandro Salsa;
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Dipartimento di Matematica del Politecnico;

Dipartimento di Matematica dell’Università;

Dipartimento di Matematica del Politecnico;

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正文语种 eng
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1. Two-phase problems for linear elliptic operators with variable coefficients: Lipschitz free boundaries are C-1,C-gamma [J] . Cerutti MC., Ferrari F., Salsa S. Archive for Rational Mechanics and Analysis . 2004,第3期

机译：变系数线性椭圆算子的两相问题：Lipschitz自由边界为C-1，C-γ
2. Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefficients [J] . Roberto Argiolas, Fausto Ferrari Interfaces and free boundaries . 2009,第2期

机译：一类具有可变系数的完全非线性椭圆算子在两阶段问题中的平坦自由边界正则性
3. Two-phase problems for a class of fully nonlinear elliptic operators Lipschitz free boundaries are C-1,C-gamma [J] . Ferrari F American Journal of Mathematics . 2006,第3期

机译：一类完全非线性椭圆算子Lipschitz自由边界的两相问题是C-1，C-γ
4. Accuracy Estimates of Difference Schemes for Quasi-Linear Elliptic Equations with Variable Coefficients Taking into Account Boundary Effect [C] . Volodymyr Makarov, Lyubomyr Demkiv International Conference on Numerical Analysis and Its Applications . 2005

机译：考虑边界效应的变系数拟线性椭圆方程的差分方案的精度估计
5. The Dirichlet and regularity problems for second order linear elliptic operators in bounded Lipschitz domains. [D] . Nguyen, Nguyen T. 2014

机译：有界Lipschitz域中二阶线性椭圆算子的Dirichlet和正则性问题。
6. Elliptic differential operators on Lipschitz domains and abstract boundary value problems [O] . Jussi Behrndt, Till Micheler -1

机译：Lipschitz域上的椭圆微分算子和抽象边值问题
7. Two-phase problems for a class of fully nonlinear elliptic operators. Lipschitz free boundaries are C 1,γ [O] . Fausto Ferrari 2006

机译：一类完全非线性椭圆算子的两相问题。 Lipschitz自由边界是C 1，γ

Two-Phase Problems for Linear Elliptic Operators with Variable Coefficients: Lipschitz Free Boundaries are C 1,γ

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