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Lagrangian solutions to systems of real principal type
Author(s) -
Hansen Sönke,
Röhrig Daniel
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310219
Subject(s) - mathematics , principal (computer security) , operator (biology) , principal part , type (biology) , mathematical analysis , fourier transform , symbol (formal) , lagrangian , computer science , ecology , biochemistry , chemistry , repressor , biology , transcription factor , gene , programming language , operating system
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)