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Propagation principle for parabolic H-measures

  • Ivan IvecEmail author
  • Martin Lazar
Article
  • 10 Downloads

Abstract

We extend results obtained by Francfort (An introduction to H-measures and their applications. Variational problems in materials science. Birkhäuser, Basel, pp 85–110, 2006) to parabolic H-measures developed by Antonić and Lazar (J Funct Anal 265:1190–1239, 2013). The well known theory of pseudodifferential operators is extended to parabolic classes of symbols and operators and used to obtain results applicable to a wide class of partial differential equations. The main result is the propagation principle which is then applied to the Schrödinger equation and the vibrating plate equation.

Keywords

Parabolic H-measures Localisation principle Propagation principle The Schrödinger equation The vibrating plate equation 

Mathematics Subject Classification

35K10 35K25 35S05 46G10 

Notes

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Authors and Affiliations

  1. 1.Faculty of MetallurgyUniversity of ZagrebSisakCroatia
  2. 2.University of DubrovnikDubrovnikCroatia

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