SMOOTHING EVOLUTION-EQUATIONS AND BOUNDARY CONTROL-THEORY

被引：31

作者：

LITTMAN, W

TAYLOR, S

机构：

[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455

[2] MONTANA STATE UNIV,DEPT MATH SCI,BOZEMAN,MT 59715

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 1992年 / 59卷

关键词：

D O I：

10.1007/BF02790221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a relationship between the local smoothing properties of evolution equations and boundary control theory. This relationship extends to hyperbolic equations, as well as equations of the Schrodinger type.

引用

页码：117 / 131

页数：15

共 17 条

[1]

AGMON S, 1963, COMM PURES APPL MATH, V16, P97

[2] LOCAL SMOOTHING AND CONVERGENCE PROPERTIES OF SCHRODINGER TYPE EQUATIONS [J].

BENARTZI, M ;

DEVINATZ, A .

JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 101 (02) :231-254

[3]

Constantin P., 1988, J AM MATH SOC, V1, P413, DOI [10.2307/1990923, DOI 10.2307/1990923]

[4]

ISAKOV V, 1980, SOV MATH DOKL, V22, P639

[5] COMMUTATOR METHODS AND A SMOOTHING PROPERTY OF THE SCHRODINGER EVOLUTION GROUP [J].

JENSEN, A .

MATHEMATISCHE ZEITSCHRIFT, 1986, 191 (01) :53-59

[6] OSCILLATORY INTEGRALS AND REGULARITY OF DISPERSIVE EQUATIONS [J].

KENIG, CE ;

PONCE, G ;

VEGA, L .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1991, 40 (01) :33-69

[7]

Lagnese J.E., 1988, MODELLING ANAL CONTR

[8] EXACT CONTROLLABILITY OF THE EULER-BERNOULLI EQUATION WITH CONTROLS IN THE DIRICHLET AND NEUMANN BOUNDARY-CONDITIONS - A NONCONSERVATIVE CASE [J].

LASIECKA, I ;

TRIGGIANI, R .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (02) :330-373

[9]

LEBEAU G, 8941 U PAR SUD PREPR

[10]

Lions JL., 1988, CONTROLABILIT EXACTE

← 1 2 →