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On the Functional Calculus of Pseudo-Differential Boundary Problems

In: Zum Werk Leonhard Eulers

Author

Listed:
  • Gerd Grubb

    (Copenhagen University, Mathematics Department)

Abstract

The lecture falls in three parts. First we give an introduction to the calculus of pseudo-differential boundary value problems, that generalize the boundary problems for differential operators. A particularly interesting ingredient here is the singular Green operators (entering also in differential boundary problems), and the second part is concerned with some spectral results for such operators. Finally, in the third part we give an account of a calculus of “functions of an operator”. The techniques are of interest also for scattering theory (with obstacles). An appendix gives some detailed formulas.

Suggested Citation

  • Gerd Grubb, 1984. "On the Functional Calculus of Pseudo-Differential Boundary Problems," Springer Books, in: Eberhard Knobloch & Ilppo Simo Louhivaara & Jörg Winkler (ed.), Zum Werk Leonhard Eulers, pages 171-182, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-7121-1_9
    DOI: 10.1007/978-3-0348-7121-1_9
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