
AbstractWe 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)
Propagation of singularities; initial value problems on manifolds, transport equation, Nonlinear first-order PDEs, Nonlinear waves in solid mechanics, Propagation of polarization, Other PDE from mechanics, Pseudodifferential operators, Fourier integral operator, elastodynamics
Propagation of singularities; initial value problems on manifolds, transport equation, Nonlinear first-order PDEs, Nonlinear waves in solid mechanics, Propagation of polarization, Other PDE from mechanics, Pseudodifferential operators, Fourier integral operator, elastodynamics
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