Dependence of fractional powers of elliptic operators on boundary conditions

Pavel E. Sobolevskii

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1992)

  • Volume: 3, Issue: 2, page 75-78
  • ISSN: 1120-6330

Abstract

top
The realization of an elliptic operator A under suitable boundary conditions is considered and the dependence of the square-root of A from the various conditions is studied.

How to cite

top

Sobolevskii, Pavel E.. "Dependence of fractional powers of elliptic operators on boundary conditions." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 3.2 (1992): 75-78. <http://eudml.org/doc/244187>.

@article{Sobolevskii1992,
abstract = {The realization of an elliptic operator A under suitable boundary conditions is considered and the dependence of the square-root of A from the various conditions is studied.},
author = {Sobolevskii, Pavel E.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Elliptic operators; Fractional powers of operators; Resolvent function; fractional powers of elliptic operators; dependence on boundary conditions},
language = {eng},
month = {6},
number = {2},
pages = {75-78},
publisher = {Accademia Nazionale dei Lincei},
title = {Dependence of fractional powers of elliptic operators on boundary conditions},
url = {http://eudml.org/doc/244187},
volume = {3},
year = {1992},
}

TY - JOUR
AU - Sobolevskii, Pavel E.
TI - Dependence of fractional powers of elliptic operators on boundary conditions
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1992/6//
PB - Accademia Nazionale dei Lincei
VL - 3
IS - 2
SP - 75
EP - 78
AB - The realization of an elliptic operator A under suitable boundary conditions is considered and the dependence of the square-root of A from the various conditions is studied.
LA - eng
KW - Elliptic operators; Fractional powers of operators; Resolvent function; fractional powers of elliptic operators; dependence on boundary conditions
UR - http://eudml.org/doc/244187
ER -

References

top
  1. KRASNOSELSKII, M. A. et al, Integral operators in spaces of summable functions. Noordhoff International Publishing, Groningen1976. Zbl0312.47041MR385645
  2. SEELEY, R., Fraction powers of boundary problems. Actes Cong. Math., Nice, vol. 2, 1970, 795-801. Zbl0224.35029MR510056
  3. SOBOLEVSKII, P. E., Comparison theorems for fractional powers of operators. Soviet Math. Dokl., vol. 8, n. 3, 1967, 25-28. Zbl0165.47602MR226444
  4. MIRANDA, C., Equazioni alle derivate parziali di tipo ellittico. Springer Verlag, 1955. Zbl0065.08503MR87853

NotesEmbed ?

top

You must be logged in to post comments.