Cauchy–Goursat Problem for One-Dimensional Semilinear Wave Equations
✍ Scribed by Jokhadze, O.
- Book ID
- 121320186
- Publisher
- Taylor and Francis Group
- Year
- 2009
- Tongue
- English
- Weight
- 243 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0360-5302
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📜 SIMILAR VOLUMES
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)| ≤ C |u | k . For some non-trapping time- periodic perturbations a(t, x), we obtain the long time ex
This paper deals with the propagation of strong singularities for constant coefficient semilinear hyperbolic equations and systems. Limits of regularized solutions are computed as the initial data converge to derivatives of Dirac measures on lower dimensional submanifolds. A general method is given