Published September 10, 2004 | Version v1
Journal article

Estimates for the characteristic problem of the first-order reduction of the wave equation

  • 1. Department of Physics, Duquesne University, Pittsburgh, PA 15282 (United States)

Description

We calculate certain estimates for the solution of the characteristic problem of the wave equation reduced to first order, in terms of the free data prescribed on two transverse surfaces, one of which is characteristic. Estimates of such kind ensure the stability of the solutions under small variations of the data. Similar estimates exist for the derivatives of the solution as well

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/37/8639/a4_36_005.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
37
Journal Issue
36
Journal Page Range
p. 8639-8655
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36029552
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
MATHEMATICAL SOLUTIONS; STABILITY; SURFACES; VARIATIONS; WAVE EQUATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS