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

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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

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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

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  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

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