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A pointwise oscillation property of semilinear wave equations with time-dependent coefficients II

✍ Scribed by Hiroshi Uesaka


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
303 KB
Volume
47
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


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

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✍ A Averbuch; M Israeli; L Vozovoi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 209 KB

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

Large time asymptotics for a class of wa
✍ Matthias Winter πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 795 KB

## Abstract We consider the equation (βˆ’1)^__m__^βˆ‡^__m__^ (__p__βˆ‡^__m__^__u__) + βˆ‚__u__ = Ζ’ in ℝ^__n__^ Γ— [0, ∞] for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ βˆ’1, Ζ’ Ο΅ __C__ and __p__ > 0. Under the additional assumption that the differential operator (βˆ’1)^__m__^βˆ‡^__