On linear differential Φ+</sub>-operators of elliptic type in Sobolev-Stepanov spaces

T. B. Kuznetsova; V. M. Tyurin

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On linear differential Φ+-operators of elliptic type in Sobolev-Stepanov spaces

机译：Sobolev-Stepanov空间中的椭圆型线性微分Φ+ -算子

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摘要

We show that a linear differential operator of elliptic type is a Φ+-operator in the Stepanov space if and only if it is a Φ+-operator in the Sobolev space.

机译：我们证明，当且仅当它是Sobolev空间中的Φ+ 算子时，椭圆型线性微分算子才是Stepanov空间中的Φ+ 算子。

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来源
《Differential Equations》 |2011年第3期|p.443-445|共3页
作者
T. B. Kuznetsova; V. M. Tyurin;
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Lipetsk State Technical University, Lipetsk, Russia;

Lipetsk State Technical University, Lipetsk, Russia;

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1. On linear differential Φ_+-operators of elliptic type in Sobolev-Stepanov spaces [J] . Kuznetsova T.B., Tyurin V.M. Differential equations: A translation of differensial'nye uraveniya . 2011,第3期

机译：Sobolev-Stepanov空间中的椭圆型线性微分Φ_+算子
2. ON WELL-POSEDNESS OF LINEAR DIFFERENTIAL OPERATORS OF ELLIPTIC TYPE ON SOME FUNCTIONAL SPACES [J] . T. B. Kuznetsova, V. M. Tyurin Journal of Mathematical Sciences . 2009,第1期

机译：关于某些函数空间上的椭圆型线性微分算子的适定性
3. Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces [J] . Eman S Al-Aidarous, Araz R Aliev, Elvin S Rzayev, Boundary value problems . 2015,第1期

机译：Sobolev型空间中具有无界算子边界条件的四阶椭圆算子-微分方程
4. Diffraction-type problems for parameter-elliptic pseudo-differential operators [C] . Fedotov, I., Ying Gai, . 2005

机译：参数椭圆伪微分算子的衍射类型问题
5. A PRIORI INTEGRAL INEQUALITIES AND L(,P) ESTIMATES FOR POSITIVE LINEAR OPERATORS AND ELLIPTIC DIFFERENTIAL OPERATORS [D] . CROCKER, THOMAS QUINN HAYES -1

机译：正线性算子和椭圆微分算子的先验积分不等式和L（，P）估计
6. Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces [O] . Hua Wang -1

机译：Morrey型空间中分数阶积分算子和线性交换子的加权不等式
7. Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators [O] . Fučík Svatopluk, Nečas Jindřich, Souček Jiří, 1972

机译：二阶非线性偏微分算子类型在Banach空间中非线性算子临界数的上限。
8. Scales of Banach Spaces Generated by Elliptic Pseudo-Differential Operators on aHoelder Space [R] . Luedkovsky, S. V. 1997

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On linear differential Φ+-operators of elliptic type in Sobolev-Stepanov spaces

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