Abstract
We prove the existence of global decaying solutions to the Cauchy problem for the wave equation of Klein-Gordon type with a nonlinear dissipation and a derivative nonlinearity. To derive required estimates of solutions we employ a delicate 'loan' method.
| Original language | English |
|---|---|
| Pages (from-to) | 457-477 |
| Number of pages | 21 |
| Journal | Funkcialaj Ekvacioj |
| Volume | 55 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2012 |
| Externally published | Yes |
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Keywords
- Derivative nonlinearity
- Energy decay
- Global solutions
- Nonlinear dissipation
- Wave equation
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology
Cite this
Existence of global decaying solutions to the Cauchy problem for a nonlinear dissipative wave equation of Klein-Gordon type with a derivative nonlinearity. / Nakao, Mitsuhiro.
In: Funkcialaj Ekvacioj, Vol. 55, No. 3, 2012, p. 457-477.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Existence of global decaying solutions to the Cauchy problem for a nonlinear dissipative wave equation of Klein-Gordon type with a derivative nonlinearity
AU - Nakao, Mitsuhiro
PY - 2012
Y1 - 2012
N2 - We prove the existence of global decaying solutions to the Cauchy problem for the wave equation of Klein-Gordon type with a nonlinear dissipation and a derivative nonlinearity. To derive required estimates of solutions we employ a delicate 'loan' method.
AB - We prove the existence of global decaying solutions to the Cauchy problem for the wave equation of Klein-Gordon type with a nonlinear dissipation and a derivative nonlinearity. To derive required estimates of solutions we employ a delicate 'loan' method.
KW - Derivative nonlinearity
KW - Energy decay
KW - Global solutions
KW - Nonlinear dissipation
KW - Wave equation
UR - http://www.scopus.com/inward/record.url?scp=84871678809&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84871678809&partnerID=8YFLogxK
U2 - 10.1619/fesi.55.457
DO - 10.1619/fesi.55.457
M3 - Article
AN - SCOPUS:84871678809
VL - 55
SP - 457
EP - 477
JO - Funkcialaj Ekvacioj
JF - Funkcialaj Ekvacioj
SN - 0532-8721
IS - 3
ER -