Generalized solutions to semilinear hyperbolic systems |
| |
Authors: | Michael Oberguggenberger |
| |
Institution: | (1) Institut für Mathematik und Geometrie, Universität Innsbruck, Technikerstrasse 13, A-6020 Innsbruck, Austria |
| |
Abstract: | In this article semilinear hyperbolic first order systems in two variables are considered, whose nonlinearity satisfies a global Lipschitz condition. It is shown that these systems admit unique global solutions in the Colombeau algebraG(2). In particular, this provides unique generalized solutions for arbitrary distributions as initial data. The solution inG(2) is shown to be consistent with the locally integrable or the distributional solutions, when they exist. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|