Open AccessGlobal existence for a wave equation on $R^n$
Author(s) -
Pericles Papadopoulos,
Nikos M. Stavrakakis
Publication year - 2008
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2008.1.139
Subject(s) - degenerate energy levels , physics , combinatorics , mathematical physics , function (biology) , mathematics , quantum mechanics , evolutionary biology , biology
We study on the initial-bountary value problem for some degenerate non-linear dissipative wave equations of Kirchho type: utt (x)|| 5 u(t)|| 2 u + u t = f(u), x 2 IR N , t 0, with initial conditions u(x,0) = u0(x) and ut(x,0) = u1(x), in the case where N 3, > 0, 1, f(u) = |u| a u wit