Title

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

Share

COinS