MR3052748
Mitsuhiro NAKAO
Mitsuhiro NAKAO
Existence of Global Decaying Solutions to the Cauchy Problem for a Nonlinear Dissipative Wave Equation of Klein-Gordon Type with a Derivative Nonlinearity
Funkcialaj Ekvacioj. Serio Internacia
55
2012
457--477
http://fe.math.kobe-u.ac.jp/FE/FullPapers/55-3/55_457.pdf
http://www.ams.org/mathscinet-getitem?mr=MR3052748
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.
Global solutions, Energy decay, Wave equation, Nonlinear dissipation, Derivative nonlinearity.
35B35, 35B40, 35L70.
55-457
2012
Existence of Global Decaying Solutions to the Cauchy Problem for a Nonlinear Dissipative Wave Equation of Klein-Gordon Type with a Derivative Nonlinearity
Mitsuhiro NAKAO
Mitsuhiro NAKAO
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