TY - JOUR
T1 - Remarks on the energy decay for nonlinear wave equations with nonlinear localized dissipative terms
AU - Nakao, Mitsuhiro
PY - 2010/10/1
Y1 - 2010/10/1
N2 - We derive an energy decay estimate for solutions to the initial-boundary value problem of a semilinear wave equation with a nonlinear localized dissipation. To overcome a difficulty related to derivative-loss mechanism we employ a 'loan' method.
AB - We derive an energy decay estimate for solutions to the initial-boundary value problem of a semilinear wave equation with a nonlinear localized dissipation. To overcome a difficulty related to derivative-loss mechanism we employ a 'loan' method.
KW - Energy decay
KW - Localized dissipation
KW - Nonlinear wave equation
UR - http://www.scopus.com/inward/record.url?scp=77955430787&partnerID=8YFLogxK
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U2 - 10.1016/j.na.2010.05.042
DO - 10.1016/j.na.2010.05.042
M3 - Article
AN - SCOPUS:77955430787
SN - 0362-546X
VL - 73
SP - 2158
EP - 2169
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 7
ER -