ON A WAVE-EQUATION WITH A BOUNDARY-CONDITION ASSOCIATED WITH CAPILLARY WAVES

Authors
KIM JU
Citation
Ju. Kim, ON A WAVE-EQUATION WITH A BOUNDARY-CONDITION ASSOCIATED WITH CAPILLARY WAVES, SIAM journal on mathematical analysis (Print), 30(1), 1999, pp. 53-71
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis (Print) → ACNP
ISSN journal
00361410
Volume
30
Issue
1
Year of publication
1999
Pages
53 - 71
Database
ISI
SICI code
0036-1410(1999)30:1<53:OAWWAB>2.0.ZU;2-X
Abstract
This paper discusses an initial-boundary value problem for a wave equa tion with a nonstandard boundary condition associated with linear capi llary waves on the surface of a compressible liquid. We prove the well -posedness of this problem. Our main technical device is the Fourier t ransform.