Estimates for the characteristic problem of the first-order reduction of the wave equation
DOI
10.1088/0305-4470/37/36/005
Document Type
Journal Article
Publication Date
9-10-2004
Publication Title
Journal of Physics A: Mathematical and General
Volume
37
Issue
36
First Page
8639
Last Page
8655
ISSN
3054470
Abstract
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.
Open Access
Green Accepted
Preprint
Repository Citation
Frittelli, S. (2004). Estimates for the characteristic problem of the first-order reduction of the wave equation. Journal of Physics A: Mathematical and General, 37 (36), 8639-8655. https://doi.org/10.1088/0305-4470/37/36/005