Propagation principle for parabolic H-measures View Full Text


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Article Info

DATE

2019-03-27

AUTHORS

Ivan Ivec, Martin Lazar

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. More... »

PAGES

1-23

References to SciGraph publications

  • 2014-01. Controllability of Two Coupled Wave Equations on a Compact Manifold in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2018-09. Second commutation lemma for fractional H-measures in JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s11868-019-00289-z

    DOI

    http://dx.doi.org/10.1007/s11868-019-00289-z

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