An Inequality of the $1-D$ Klein-Gordon Equation with a Time-varying Parameter

Volume 3, Issue 3, 2002

Article 45

AN INEQUALITY OF THE 1-D KLEIN-GORDON EQUATION WITH A TIME-VARYING PARAMETER

DEPARTMENT OF MATHEMATICS
INSTITUT TEKNOLOGI BANDUNG
JALAN GANESHA 10, BANDUNG 40132
INDONESIA.
E-Mail: pranoto@dns.math.itb.ac.id

Received 20 November, 2001; Accepted 15 April, 2002.
Communicated by: L.-E. Persson

ABSTRACT. In this paper we present an inequality concerning the regularity of the solution of the Klein-Gordon equation with a time-varying parameter. In particular, we present an inequality comparing the norm of the initial state and the norm of the solution on some part of the boundary.

Key words:
Partial differential equation, Klein-Gordon, Inequality, Controllability.

2000 Mathematics Subject Classification:
35L20, 93B05.

Download this article (PDF):

Suitable for a printer:

Suitable for a monitor:

To view these files we recommend you save them to your file system and then view by using the Adobe Acrobat Reader.

That is, click on the icon using the 2nd mouse button and select "Save Target As..." (Microsoft Internet Explorer) or "Save Link As..." (Netscape Navigator).

See our PDF pages for more information.

Other papers in this issue

An Inequality which Arises in the Absence of the Mountain Pass Geometry
Radu Precup

On the Hyers-Ulam Stability of Quadratic Functional Equations
Ick-Soon Chang and Hark-Mahn Kim

Projection Iterative Schemes for General Variational Inequalities
M. Aslam Noor, Y.Wang and N.Xiu

An Inequality Improving the Second Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
S.S. Dragomir

Multivalued Quasi Variational Inequalities in Banach Spaces
M. Aslam Noor, A. Moudafi and B. Xu

On an Inequality Related to the Legendre Totient Function
Pentti Haukkanen

Explicit Upper Bounds for the Average Order of d_n and Applications to Class Number
O. Bordelles

Iterated Turan and Laguerre Inequalities
Thomas Craven and George Csordas

A Monotonicity Property of Power Means
A.McD. Mercer

Moment Inequalities of a Random Variable Defined over a Finite Interval
Pranesh Kumar