Shapiro–Lopatinskii ellipticity

  • Xiaochun Liu
  • Bert-Wolfgang Schulze
Part of the Operator Theory: Advances and Applications book series (OT, volume 265)


We now define the notion of Shapiro–Lopatinskii ellipticity (also known as SLellipticity) of boundary conditions for an operator in Boutet de Monvel’s calculus on a smooth manifold X with boundary Y . The results can be found, for instance, in the monograph [34] of Rempel and Schulze, and of course, also in the work [9] of Boutet de Monvel; see also the monograph of Grubb [19]. Therefore, here we only sketch the proofs.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Xiaochun Liu
    • 1
  • Bert-Wolfgang Schulze
    • 2
  1. 1.School of Mathematics and StatisticsWuhan UniversityWuhanChina
  2. 2.Institut für MathematikUniversität PotsdamPotsdamGermany

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