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SUMMARY:Development of a method for computing approximate solutions to lin
 ear evolution equations with application to the calculation of the heat ke
 rnel
DTSTART;VALUE=DATE-TIME:20261028T060000Z
DTEND;VALUE=DATE-TIME:20261028T061500Z
DTSTAMP;VALUE=DATE-TIME:20261101T095428Z
UID:indico-contribution-6137@cern.ch
DESCRIPTION:Speakers: Vyacheslav Guba ()\nWe propose a new method for comp
 uting approximate solutions of linear evolution equations with slowly vary
 ing coefficients. Using this method\, we obtain an expansion of the heat k
 ernel. We refer to this expansion as a derivative expansion because each s
 ubsequent term contains derivatives of the slowly varying coefficients of 
 a higher order than the previous one does. We also propose a new operator 
 approach for calculating the small-time asymptotic expansion of the heat k
 ernel. It is possible to derive a non-diagonal small-time expansion up to 
 an arbitrary order with this operator method. We explicitly obtain analyti
 cal expressions up to the second order in the time variable.\n\nhttps://in
 dico.particle.mephi.ru/event/626/contributions/6137/
LOCATION: Conference Hall 3
URL:https://indico.particle.mephi.ru/event/626/contributions/6137/
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