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Lagrangian solutions to systems of real principal type

✍ Scribed by Sönke Hansen; Daniel Röhrig


Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
143 KB
Volume
277
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

We derive a transport equation for the principal symbol of a Fourier integral operator which solves a real principal type system. We apply this to Lamé's system of elastodynamics and obtain transport equations which remain valid at caustics. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


📜 SIMILAR VOLUMES


Subsolutions and super solutions to syst
✍ G. Lu; B. D. Sleeman 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 514 KB

## Abstract A constructive method for obtaining subsolutions and supersolutions to the Cauchy problem for systems of parabolic equations is discussed. Applications of the method to Fujita‐type systems are considered leading to global existence and finite time blow‐up results.