Generalized Function Algebras and PDEs with Singularities. A Survey.
Marko Nedeljkov, Stevan Pilipović (2006)
Zbornik Radova
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Displaying similar documents to “Regularity theory in Colombeau algebras.”
Generalized Function Algebras and PDEs with Singularities. A Survey.
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A Transmission Strategy for Hyperbolic Internal Waves of Small Width
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Semilinear hyperbolic problems with source terms piecewise smooth and discontinuous across characteristic surfaces yield similarly piecewise smooth solutions. If the discontinuous source is replaced with a smooth transition layer, the discontinuity of the solution is replaced by a smooth internal layer. In this paper we describe how the layer structure of the solution can be computed from the layer structure of the source in the limit of thin layers. The key idea is to use a transmission...