On the Functional Calculus of Pseudo-Differential Boundary Problems

Gerd Grubb
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Gerd Grubb: Copenhagen University, Mathematics Department

A chapter in Zum Werk Leonhard Eulers, 1984, pp 171-182 from Springer

Abstract: 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.

Date: 1984
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DOI: 10.1007/978-3-0348-7121-1_9

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