The Wave Equation with a Discontinuous Coefficient Depending on Time Only: Generalized Solutions and Propagation of Singularities

Author:

Geguchi Hideo,Hörmann Günther,Oberguggenberger Michael

Publisher

Springer Basel

Reference22 articles.

1. H.A. Biagioni, A Nonlinear Theory of Generalized Functions, Lect. Notes Math. 1421, Springer-Verlag, Berlin, 1990.

2. J.-F. Colombeau, New Generalized Functions and Multiplication of Distributions, North-Holland Math. Stud. 84 North-Holland, Amsterdam, 1984.

3. J.-F. Colombeau, Elementary Introduction to New Generalized Functions, North- Holland Math. Stud. 113, North-Holland, Amsterdam, 1985.

4. J.-F. Colombeau and A. Heibig, Generalized solutions to Cauchy problems, Monatsh. Math. 117 (1994), 33–49.

5. H. Deguchi, A linear first-order hyperbolic equation with a discontinuous coefficient: distributional shadows and propagation of singularities, Electron. J. Differential Equations 201176 (2011), 1–25.

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