Extension theory for elliptic partial differential operators with pseudodifferential methods
Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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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
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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