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
A pointwise oscillation property of semilinear wave equations with time-dependent coefficients II
β Scribed by Hiroshi Uesaka
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 303 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A new numerical algorithm is developed for the solution of time-dependent differential equations of diffusion type. It allows for an accurate and efficient treatment of multidimensional problems with variable coefficients, nonlinearities, and general boundary conditions. For space discretization we
## Abstract We consider the equation (β1)^__m__^β^__m__^ (__p__β^__m__^__u__) + β__u__ = Ζ in β^__n__^ Γ [0, β] for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ β1, Ζ Ο΅ __C__ and __p__ > 0. Under the additional assumption that the differential operator (β1)^__m__^β^__