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Strictly hyperbolic equations with non regular coefficients with respect to time

✍ Scribed by Massimo Cicognani


Book ID
105623058
Publisher
Springer-Verlag
Year
1999
Tongue
German
Weight
512 KB
Volume
45
Category
Article
ISSN
0430-3202

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📜 SIMILAR VOLUMES


On the Cauchy problem for second order s
✍ Fumihiko Hirosawa 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 216 KB

## Abstract In this paper we shall consider some necessary and sufficient conditions for well–posedness of second order hyperbolic equations with non–regular coefficients with respect to time. We will derive some optimal regularities for well–posedness from the intensity of singularity to the coeff

Loss of regularity for the solutions to
✍ Fumihiko Hirosawa 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 148 KB

## Abstract We consider the Cauchy problem for second‐order strictly hyperbolic equations with time‐depending non‐regular coefficients. There is a possibility that singular coefficients make a regularity loss for the solution. The main purpose of this paper is to derive an optimal singularity for t