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Sharp Observability Inequalities for the 1-D Plate Equation with a Potential

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Title Sharp Observability Inequalities for the 1-D Plate Equation with a Potential
 
Creator FU, XY
 
Subject Observability inequality
Plate equation
Point-wise estimate
Carleman estimate
EXACT CONTROLLABILITY
SCHRODINGER-EQUATION
WAVE-EQUATIONS
SYSTEMS
 
Description This paper deals with the problem of sharp observability inequality for the 1-D plate equation w(tt) + w(xxxx) + q(t, x)w = 0 with two types of boundary conditions w = w(xx) = 0 or w = w(x) = 0, and q( t, x) being a suitable potential. The author shows that the sharp observability constant is of order exp(C parallel to q parallel to(2/7)(infinity)) for parallel to q parallel to(infinity) >= 1. The main tools to derive the desired observability inequalities are the global Carleman inequalities, based on a new point wise inequality for the fourth order plate operator.
 
Publisher SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
 
Date 2014-10-16T14:01:17Z
2014-10-16T14:01:17Z
2012
 
Type Article
 
Identifier CHINESE ANNALS OF MATHEMATICS SERIES B, 33(1)91-106
http://dx.doi.org/10.1007/s11401-011-0689-5
http://dspace.library.iitb.ac.in/jspui/handle/100/15731
 
Language en