BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Namur Institute For Complex Systems - ECPv6.15.20//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Namur Institute For Complex Systems
X-ORIGINAL-URL:https://www.naxys.be
X-WR-CALDESC:Events for Namur Institute For Complex Systems
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:Europe/Brussels
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20240331T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20241027T010000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20250330T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20251026T010000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20260329T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20261025T010000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=Europe/Brussels:20251127T130000
DTEND;TZID=Europe/Brussels:20251127T140000
DTSTAMP:20260410T132150
CREATED:20251003T151749Z
LAST-MODIFIED:20251126T131919Z
UID:2579-1764248400-1764252000@www.naxys.be
SUMMARY:Serge Nicaise (Université de Valenciennes)
DESCRIPTION:Title: Stability results of dissipative systems via the frequency domain approach \nAbstract: \n\n\n\n\nThe frequency domain approach goes back to J. Prüss [Trans. Amer. Math. Soc. 284 (1984)\, 847-857] and F. L. Huang [Ann. Differential Equations 1 (1985)\, 43-56] that show that a C0 semigroup (etA)t≥0 of contractions in a Hilbert space H is exponentially stable if and only if the resolvent of A is uniformly bounded on the imaginary axis. Afterwards Z. Liu and B. Rao\, [Z. Angew. Math. Phys. 56 (2005)\, 630-644]\, C. J. K. Batty and T. Duyckaerts [J. Evol. Equ. 8 (2008)\, 765-780]\, and A. Bátkai\, K.-J. Engel\, J. Prüss and R. Schnaubelt [Math. Nachr. 279 (2006)\, 1425-1440] have given some sufficient conditions on the behavior of the resolvent of A on the imaginary axis that guarantee an almost polynomial decay of the semigroup. Finally an optimal result about the polynomial decay was found by A. A. Borichev and Yu. V. Tomilov [Math. Ann. 347 (2010)\, 455-478]. This approach is a powerful tool for the study of the decay of the semigroup associated with concrete dissipative systems since it reduces to the study of the resolvent on the imaginary axis. \nIn my talk\, I will first recall these two results and then illustrate them on two particular dissipative systems. \n\nThis seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/serge-nicaise-universite-de-valenciennes/
CATEGORIES:NAXYS Seminar
END:VEVENT
END:VCALENDAR