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Hyperbolic equations with coefficients rapidly oscillating in time: A result of nonstability

✍ Scribed by Ferruccio Colombini; Sergio Spagnolo


Book ID
107792065
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
588 KB
Volume
52
Category
Article
ISSN
0022-0396

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A pointwise oscillation property of semi
✍ Hiroshi Uesaka πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 141 KB

We shall consider a one-dimensional semilinear wave equation in a ΓΏnite interval (0; l) in R. A usual homogeneous boundary condition is imposed on it at x = 0; l. We shall show that the solution u(x; t) oscillates on the time t in the following sense. Let x be any ΓΏxed in (0; l), then u(x; t) change