On the Equivalence of Spectra of Linear Partial Differential Operators in Certain Function Spaces

被引：0

作者：

V. M. Tyurin

机构：

[1] Lipetsk State Technical University,

来源：

Mathematical Notes | 2002年 / 72卷

关键词：

linear partial differential operator; invertibility and equivalence of spectra; well-definedness of differential operators; Lebesgue space; Banach space; Stepanov space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For linear differential operators with coefficients of class C on ℝn, we prove theorems on the simultaneous invertibility and equivalence of spectra in the Lebesgue space Lp, Stepanov space Mp, and in a particular Banach space Vp⊂ Lp, p ≥ 1

引用

页码：833 / 840

页数：7

共 9 条

[1]

Mukhamadiev É. M.(1972)On the invertibility of partial differential operators of elliptic type Dokl. Akad. Nauk SSSR 205 1292-1293

[2]

Zhikov V. V.(1972)To the theory of admissibility of pairs of function spaces Dokl. Akad. Nauk SSSR 205 1281-1283

[3]

Zhikov V. V.(1976)Some problems of admissibility and dichotomy. Principle of averaging Izv. Akad. Nauk SSSR Ser. Mat. 40 1380-1408

[4]

Shubin M. A.(1976)Theorems on the equivalence of the spectra of pseudodifferential almost periodic operators in the spaces Sibirsk. Mat. Zh. 17 200-215

[5]

Kurbatov V. G.(1986)(ℝ Sibirsk. Mat. Zh. 27 89-99

[6]

Slyusarchuk V. E.(1987)) and Mat. Zametki 42 262-267

[7]

Tyurin V. M.(1991)(ℝ Sibirsk. Mat. Zh. 32 160-165

[8]

Baskakov A. G.(1993)) Dokl. Ross. Akad. Nauk 333 282-284

[9]

Tyurin V. M.(1997)On bounded solutions of difference-differential equations Differentsial' nye Uravneniya 33 1419-1425

← 1 →