Volume 3,  Issue 3, 2002

Article 45

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

IWAN PRANOTO

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.

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