Geometrical conservation laws for Maxwell and elasticity systems

Victor P. Palamodov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The Maxwell system in inhomogeneous medium as well as the elasticity system are considered. We give a sharp form to the conservation laws of geometrical optics in the terms of the distribution theory. We show that the conservation taws keep to hold through any singular point of the wave front.

Original languageEnglish
Pages (from-to)57-70
Number of pages14
JournalActa Applicandae Mathematicae
Volume74
Issue number1
DOIs
StatePublished - Oct 2002

Keywords

  • Energy
  • Geodesic flow
  • Lagrange manifold
  • Levi-Civita connection
  • Polarization
  • Residue
  • Symbol

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