Extension theory for elliptic partial differential operators with pseudodifferential methods

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Standard

Extension theory for elliptic partial differential operators with pseudodifferential methods. / Grubb, Gerd.

Operator Methods for Boundary Value Problems. ed. / Seppo Hassi; Hendrik de Snoo; Franciszek Szafraniec. Vol. 404 Cambridge : Cambridge University Press, 2012. p. 221-258 (London Mathematical Society. Lecture Note Series, Vol. 404).

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Harvard

Grubb, G 2012, Extension theory for elliptic partial differential operators with pseudodifferential methods. in S Hassi, H de Snoo & F Szafraniec (eds), Operator Methods for Boundary Value Problems. vol. 404, Cambridge University Press, Cambridge, London Mathematical Society. Lecture Note Series, vol. 404, pp. 221-258.

APA

Grubb, G. (2012). Extension theory for elliptic partial differential operators with pseudodifferential methods. In S. Hassi, H. de Snoo, & F. Szafraniec (Eds.), Operator Methods for Boundary Value Problems (Vol. 404, pp. 221-258). Cambridge University Press. London Mathematical Society. Lecture Note Series Vol. 404

Vancouver

Grubb G. Extension theory for elliptic partial differential operators with pseudodifferential methods. In Hassi S, de Snoo H, Szafraniec F, editors, Operator Methods for Boundary Value Problems. Vol. 404. Cambridge: Cambridge University Press. 2012. p. 221-258. (London Mathematical Society. Lecture Note Series, Vol. 404).

Author

Grubb, Gerd. / Extension theory for elliptic partial differential operators with pseudodifferential methods. Operator Methods for Boundary Value Problems. editor / Seppo Hassi ; Hendrik de Snoo ; Franciszek Szafraniec. Vol. 404 Cambridge : Cambridge University Press, 2012. pp. 221-258 (London Mathematical Society. Lecture Note Series, Vol. 404).

Bibtex

@inbook{393cd53d71cb4f15b6bcd3a9e9b37789,
title = "Extension theory for elliptic partial differential operators with pseudodifferential methods",
abstract = "This is a short survey on the connection between general extensiontheories and the study of realizations of elliptic operators A on smooth domainsin R^n, n >1. The theory of pseudodifferential boundary problems has turnedout to be very useful here, not only as a formulational framework, but alsofor the solution of specific questions. We recall some elements of that theory,and show its application in several cases (including new results), namely tothe lower boundedness question, and the question of spectral asymptotics fordifferences between resolvents.",
keywords = "Faculty of Science, Matematik, partielle differentialligninger, funktionalanalyse",
author = "Gerd Grubb",
year = "2012",
language = "English",
isbn = "978-1-197-60611-1",
volume = "404",
series = "London Mathematical Society. Lecture Note Series",
publisher = "Cambridge University Press",
pages = "221--258",
editor = "Seppo Hassi and {de Snoo}, Hendrik and Franciszek Szafraniec",
booktitle = "Operator Methods for Boundary Value Problems",
address = "United Kingdom",

}

RIS

TY - CHAP

T1 - Extension theory for elliptic partial differential operators with pseudodifferential methods

AU - Grubb, Gerd

PY - 2012

Y1 - 2012

N2 - This is a short survey on the connection between general extensiontheories and the study of realizations of elliptic operators A on smooth domainsin R^n, n >1. The theory of pseudodifferential boundary problems has turnedout to be very useful here, not only as a formulational framework, but alsofor the solution of specific questions. We recall some elements of that theory,and show its application in several cases (including new results), namely tothe lower boundedness question, and the question of spectral asymptotics fordifferences between resolvents.

AB - This is a short survey on the connection between general extensiontheories and the study of realizations of elliptic operators A on smooth domainsin R^n, n >1. The theory of pseudodifferential boundary problems has turnedout to be very useful here, not only as a formulational framework, but alsofor the solution of specific questions. We recall some elements of that theory,and show its application in several cases (including new results), namely tothe lower boundedness question, and the question of spectral asymptotics fordifferences between resolvents.

KW - Faculty of Science

KW - Matematik

KW - partielle differentialligninger

KW - funktionalanalyse

M3 - Book chapter

SN - 978-1-197-60611-1

VL - 404

T3 - London Mathematical Society. Lecture Note Series

SP - 221

EP - 258

BT - Operator Methods for Boundary Value Problems

A2 - Hassi, Seppo

A2 - de Snoo, Hendrik

A2 - Szafraniec, Franciszek

PB - Cambridge University Press

CY - Cambridge

ER -

ID: 43665997