GROUP CLASSIFICATION OF QUASILINEAR ELLIPTIC-TYPE EQUATIONS.II. INVARIANCE UNDER SOLVABLE LIE ALGEBRAS

V. I. Lahno; S.V. Spichak

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GROUP CLASSIFICATION OF QUASILINEAR ELLIPTIC-TYPE EQUATIONS.II. INVARIANCE UNDER SOLVABLE LIE ALGEBRAS

机译：拟线性椭圆型方程组的分类可解李代数下的不变性

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摘要

We study the problem of group classification of quasilinear elliptic equations in a two-dimensional space.The list of all equations of this type admitting solvable Lie algebras of symmetry operators is obtained.Together with the results obtained earlier by the authors, these results give a complete solution of the problem of group classification of quasilinear elliptic equations.

机译：我们研究了二维空间中的拟线性椭圆型方程的组分类问题，得到了所有这类可对称对称算子的可解李代数的方程组，并结合作者先前获得的结果，给出了完全解决了拟线性椭圆型方程组的分类问题。

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《Ukrainian mathematical journal》 |2011年第2期|共18页
作者
V. I. Lahno; S.V. Spichak;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
GROUP; CLASSIFICATION; EQUATION;

机译：组;分类;方程;

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专利

1. GROUP CLASSIFICATION OF QUASILINEAR ELLIPTIC-TYPE EQUATIONS.II. INVARIANCE UNDER SOLVABLE LIE ALGEBRAS [J] . V. I. Lahno, S.V. Spichak Ukrainian mathematical journal . 2011,第2期

机译：拟线性椭圆型方程组的分类可解李代数下的不变性
2. Classification of real solvable Lie algebras whose simply connected Lie groups have only zero or maximal dimensional coadjoint orbits [J] . Anh Vu Le, Van Hieu Ha, Anh Tuan Nguyen, Revista de la Unión Matemática Argentina . 2016,第2期

机译：简单连接的李群仅具有零或最大维共伴随轨道的可解李代数的分类
3. Classification of solvable Lie algebras with a given nilradical by means of solvable extensions of its subalgebras [J] . Snobl L, Karasek D Linear Algebra and its Applications . 2010,第7期

机译：具有给定nilradical的可解Lie代数的子代数可解扩展的分类
4. The Modeling and Numerical Solving Method of the Spatial Mechanism with Lie Group and Lie Algebra [C] . Bai Long, Dong Zhifeng, Ge Xinsheng IFToMM World Congress . 2015

机译：Lie Grous和Lie代数的空间机制建模与数值求解方法
5. Classification of Six Dimensional Solvable Indecomposable Lie Algebras with a codimension one nilradical over R. [D] . Shabanskaya, Anastasia. 2011

机译：六维可分解的Lie代数的分类，其中余数为R的余数为零。
6. Continuous family of finite-dimensional representations of a solvable Lie algebra arising from singularities [O] . Stephen S.-T. Yau 1983

机译：可奇李代数的有限维表示形式的连续族
7. Invariance of the quasilinear equations of hiperbolic type with respect to the three-parametric Lie algebras [O] . Magda, Olena 2001

机译：关于hiperbolic类型的拟线性方程的不变性到三参数李代数

GROUP CLASSIFICATION OF QUASILINEAR ELLIPTIC-TYPE EQUATIONS.II. INVARIANCE UNDER SOLVABLE LIE ALGEBRAS

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