Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation
作者:
Irena Lasiecka,
John Ong,
期刊:
Communications in Partial Differential Equations
(Taylor Available online 1999)
卷期:
Volume 24,
issue 11-12
页码: 2069-2107
ISSN:0360-5302
年代: 1999
DOI:10.1080/03605309908821495
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
A n-dimensional quasiliner wave equation with nonlinear boundary dissipation is considered. Global existence, uniqueness and uniform decay rates are established for the model, under the assumption that the H1(Ω)xL2(Ω') norms of the initial data are sufficiently small. The result presented in this paper extends/generalizes those obtained those obtained recently in (13), where, by contrast, interior nonlinear damping was considered; and those obtained in (31), where the one-dimensional wave equation with linear boundary damping was treated.
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