Exact null controllability of degenerate evolution equations with scalar control

被引：13

作者：

Fedorov, V. E. ^{[1
]}

Shklyar, B. ^{[2
]}

机构：

[1] Chelyabinsk State Univ, Chelyabinsk, Russia

[2] Holon Inst Technol, Dept Appl Math, Holon, Israel

来源：

SBORNIK MATHEMATICS | 2012年 / 203卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

degenerate evolution equation; exact controllability; family of exponentials; strongly minimal sequence;

D O I：

10.1070/SM2012v203n12ABEH004289

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary and sufficient conditions for the exact null controllability of a degenerate linear evolution equation with scalar control are obtained. These general results are used to examine the exact null controllability of the Dzektser equation in the theory of seepage.

引用

页码：1817 / 1836

页数：20

共 13 条

[1]

[Anonymous], 2007, LINEAR NONLINEAR EQU

[2]

Bari N.K., 1951, MOSKOV GOS U UCENYE, V148, P69

[3]

Demidenko G. V., 1998, PURE APPL MATH

[4]

Dzektser E. S., 1972, Soviet Physics - Doklady, V17, P108

[5] UNIFORM BOUNDS ON BIORTHOGONAL FUNCTIONS FOR REAL EXPONENTIALS WITH AN APPLICATION TO CONTROL-THEORY OF PARABOLIC EQUATIONS [J].

FATTORINI, HO ;

RUSSELL, DL .

QUARTERLY OF APPLIED MATHEMATICS, 1974, 32 (01) :45-69

[6] ON SOLVABILITY OF PERTURBED SOBOLEV TYPE EQUATIONS [J].

Fedorov, V. E. ;

Ruzakova, O. A. .

ST PETERSBURG MATHEMATICAL JOURNAL, 2009, 20 (04) :645-664

[7]

Fedorov V. E., 2009, VESTN CHELYABINSK GO, P12

[8]

FEDOROV VE, 2001, ST PETERSB MATH J, V12, P471

[9]

Hille E., 1957, Amer. Math. Soc.

[10]

Kaczmarz S., 1951, Theorie der Orthogonalreihen

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