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SUMMARY:Pohozaev identity for the spectral fractional Laplacian - María d
 el Mar González (Universidad Autonoma de Madrid)
DTSTART:20260330T133000Z
DTEND:20260330T143000Z
UID:TALK245353@talks.cam.ac.uk
DESCRIPTION:We present a Pohozaev identity for the Spectral Fractional Lap
 lacian\, together with its application for non-existence for some semiline
 ar problems. The first work on non-local Pohozaev identities is the influe
 ntial paper by Ros-Oton and Serra in 2014\, where they consider the Restri
 cted Fractional Laplacian. However\, in our setting\, the boundary behavio
 r differs substantially and the integration by parts strategy by Ros-Oton 
 and Serra cannot be applied. Instead\, we use a spectral approach to obtai
 n a new identity expressed as a Schur product\, from which we recover the 
 Pohozaev identity for the classical Laplacian by means of a transition mat
 rix.
LOCATION:Seminar Room 2\, Newton Institute
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