We establish the existence of a weak solution u of the semilinear wave equation where a(t, x) is equal to 1 outside a compact set with respect to x and a non-linear term f k which satisfies |f k (u)| β€ C |u | k . For some non-trapping time- periodic perturbations a(t, x), we obtain the long time ex
β¦ LIBER β¦
A semilinear wave equation associated with a linear differential equation with Cauchy data
β Scribed by Long Nguyen Thanh; Alain Pham Ngoc Dinh
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 597 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0362-546X
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