Longtime behavior of the hyperbolic equations with an arbitrary internal damping
DSpace at IIT Bombay
View Archive InfoField | Value | |
Title |
Longtime behavior of the hyperbolic equations with an arbitrary internal damping
|
|
Creator |
FU, XY
|
|
Subject |
POLYNOMIAL DECAY-RATE
WAVE-EQUATION BOUNDARY STABILIZATION EXPONENTIAL DECAY ENERGY DECAY SYSTEM CONTROLLABILITY Logarithmic stability Hyperbolic equations Interpolation inequality Global Carleman estimate Resolvent Operator |
|
Description |
This paper is devoted to a study of the longtime behavior of the hyperbolic equations with an arbitrary internal damping, under sharp regularity assumptions that both the principal part coefficients and the boundary of the space domain (in which the system evolves) are continuously differentiable. For this purpose, we derive a new point-wise inequality for second differential operators with symmetric coefficients. Then, based on a global Carleman estimate, we establish an estimate on the underlying resolvent operator of the equation, via which, we show the logarithmic decay rate for solutions of the hyperbolic equations.
|
|
Publisher |
BIRKHAUSER VERLAG AG
|
|
Date |
2012-06-26T05:09:20Z
2012-06-26T05:09:20Z 2011 |
|
Type |
Article
|
|
Identifier |
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,62(4)667-680
0044-2275 http://dx.doi.org/10.1007/s00033-010-0113-0 http://dspace.library.iitb.ac.in/jspui/handle/100/13931 |
|
Language |
English
|
|