ON SUPERPOSITION OPERATORS BETWEEN HIGHER-ORDER SOBOLEV SPACES AND A MULTIVARIATE FAà DI BRUNO FORMULA:THE SUBCRITICAL CASE

George Dinca; Florin Isaia

首页> 外文期刊>Differential and integral equations >ON SUPERPOSITION OPERATORS BETWEEN HIGHER-ORDER SOBOLEV SPACES AND A MULTIVARIATE FAà DI BRUNO FORMULA:THE SUBCRITICAL CASE

【24h】

ON SUPERPOSITION OPERATORS BETWEEN HIGHER-ORDER SOBOLEV SPACES AND A MULTIVARIATE FAà DI BRUNO FORMULA:THE SUBCRITICAL CASE

机译：关于高阶Sobolev空间与多元FAàDI BRUNO公式之间的叠加算符：次判例

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, superposition operators, (N_gu)(x) = g(u(x)), between two arbitrary Sobolev spaces are studied. Sufficient conditions which ensure the well-definedness, the continuity, and the validity of the higher-order chain rule for such operators are given in the subcritical case (see Remark 1.1). As a consequence of these properties, it is proved that N_g(W~(m;p)(?)∩W_0~(k,p)(?)∈W_0~(1,q)(?).

机译：本文研究了两个任意Sobolev空间之间的叠加算子（N_gu）（x）= g（u（x））。在亚临界情况下，给出了确保此类操作符的高阶链规则的定义明确，连续性和有效性的充分条件（请参见备注1.1）。作为这些性质的结果，证明了N_g（W〜（m; p）（α）∩W_0〜（k，p）（α）∈W_0〜（1，q）（α）。

著录项

来源
《Differential and integral equations》 |2013年第2期|共48页
作者
George Dinca; Florin Isaia;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类微分方程、积分方程;
关键词
SUPERPOSITION; OPERATORS; SUBCRITICAL;

机译：叠加;运算符;亚临界;

相似文献

外文文献
中文文献
专利

1. ON SUPERPOSITION OPERATORS BETWEEN HIGHER-ORDER SOBOLEV SPACES AND A MULTIVARIATE FAà DI BRUNO FORMULA:THE SUBCRITICAL CASE [J] . George Dinca, Florin Isaia Differential and integral equations . 2013,第1a2期

机译：关于高阶Sobolev空间与多元FAàDI BRUNO公式之间的叠加算符：次判例
2. Superposition operators between Sobolev spaces and a non-existence result of higher-order regular solutions for the p-Laplacian [J] . Isaia Florin Nonlinear Analysis: An International Multidisciplinary Journal . 2015,第Null期

机译：Sobolev空间之间的叠加算子和p-Laplacian高阶正则解的不存在结果
3. ON THE SUPERPOSITION OPERATOR BETWEEN SOBOLEV SPACES: WELL-DEFINEDNESS, CONTINUITY, BOUNDEDNESS, AND HIGHER-ORDER CHAIN RULE [J] . Isaia Florin Houston Journal of Mathematics . 2015,第4期

机译：关于Sobolev空间之间的叠加算子：定义明确，连续，有界以及高阶链规则
4. A Faà di Bruno Hopf algebra for a group of Fliess operators with applications to feedback [C] . Gray W. Steven, Duffaut Espinosa Luis A. Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on . 2011

机译：适用于一组Fliess运算符的Faàdi Bruno Hopf代数及其在反馈中的应用
5. The decomposition of the spaces of cusp forms of half-integral weight and trace formula of Hecke operators [D] . Ueda, Masaru 1987

机译：半积分权重的尖峰形式空间的分解和Hecke算子的迹线公式
6. Multivariate box spline wavelets in higher-dimensional Sobolev spaces [O] . Raj Kumar, Manish Chauhan -1

机译：高维Sobolev空间中的多元盒样条小波
7. Uniform Continuity and Br\'ezis-Lieb Type Splitting for Superposition Operators in Sobolev Space [O] . Ackermann, Nils 2016

机译：均匀连续性和Br \'ezis-Lieb型分裂叠加 sobolev space的运营商

ON SUPERPOSITION OPERATORS BETWEEN HIGHER-ORDER SOBOLEV SPACES AND A MULTIVARIATE FAà DI BRUNO FORMULA:THE SUBCRITICAL CASE

摘要

著录项

相似文献

相关主题

期刊订阅