Generalized solutions to a semilinear wave equation
✍ Scribed by M. Nedeljkov; M. Oberguggenberger; S. Pilipović
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 225 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0362-546X
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## Abstract We study the asymptotic behaviour in time of the solutions of dissipative perturbations of wave‐type equations in ℝ^__N__^, __u__~tt~ + __Bu__~t~ + __Au__ + __G__(__u__) = 0, with commuting positive operators __A__, __B__ and a power like non‐linearity G(__u__). First we give some (pseu
We establish existence of travelling waves for a fourth-order semilinear diffusion equation and examine the dependence of the wave speed on the parameter. Keywords--Singular perturbation, Travelling waves, Rate of change of wave speed.