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Limits of solutions to the semilinear wave equation with small parameter.
Authors: A. Perjan
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Abstract
We study the existence of the limits of solution to singularly perturbed initial boundary value problem of hyperbolic - parabolic type with boundary Dirichlet condition for the semilinear wave equation. We prove the convergence of solutions and also the convergence of gradients of solutions to perturbed problem to the corresponding solutions to the unperturbed problem as the small parameter tends to zero. We show that the derivatives of solution relative to time-variable possess the boundary layer function of the exponential type in the neighborhood of t=0.E-mail:
Fulltext
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Contents
- Properties of one-sided ideals of topological rings.
- The Multidimensional Directed Euler Tour of Cubic Manifold.
- A test for completeness with respect to implicit reducibility in the chain super-intutionistic logics.
- Dynamic Programming Approach for Solving Discrete Optimal Control Problem and its Multicriterion Version.
- Measure of stability and quasistability to a vector integer programming problem in the l1 l metric.
- On determining the minimum cost flows in dynamic networks.
- Functional bases of centro-affine invariants for the three-dimensional quadratic differential systems.
- Limits of solutions to the semilinear wave equation with small parameter.
- Unsteady flow of an Oldroyd-B fluid induced \\ by a constantly accelerating plate.
- About commutative Moufang loops of finite special rank.
- An application of Briot-Bouquet differential subordinations.
- Junior spatial groups of (22 )-symmetry.
