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 |
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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 |
Keywords
- Derivative nonlinearity
- Energy decay
- Global solutions
- Nonlinear dissipation
- Wave equation
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology