We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.
Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation
β Scribed by Kosuke Ono
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 455 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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