TY - JOUR
T1 - Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity
AU - Nakao, Mitsuhiro
PY - 2012/3
Y1 - 2012/3
N2 - We prove the global existence of the so-called H2 solutions for a nonlinear wave equation with a nonlinear dissipative term and a derivative type nonlinear perturbation. To show the boundedness of the second order derivatives we need a precise energy decay estimate and for this we employ a 'loan' method.
AB - We prove the global existence of the so-called H2 solutions for a nonlinear wave equation with a nonlinear dissipative term and a derivative type nonlinear perturbation. To show the boundedness of the second order derivatives we need a precise energy decay estimate and for this we employ a 'loan' method.
KW - Energy decay
KW - Global existence
KW - Nonlinear dissipation
KW - Nonlinear wave equation
UR - http://www.scopus.com/inward/record.url?scp=84655169778&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84655169778&partnerID=8YFLogxK
U2 - 10.1016/j.na.2011.10.022
DO - 10.1016/j.na.2011.10.022
M3 - Article
AN - SCOPUS:84655169778
VL - 75
SP - 2236
EP - 2248
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 4
ER -