[STAR Seminars] Wed Jan 14 - Rahma Yasmina Moulay Hachemi
Dear all, Join us for our upcoming talk in the STAR seminar<https://www.mn.uio.no/math/english/research/projects/storm/events/seminars/star-online-seminars/> series on Wednesday, January 14th, from 11:00 to 12:00 (Oslo time). As always, the talk will take place in a hybrid format: participants in Oslo can attend the talk in Room 723 in Niels Henrik Abels hus, whereas the international audience will be able to follow the talk via Zoom<https://uio.zoom.us/j/67027975721>. The speaker is Rahma Yasmina Moulay Hachemi (University of Saida Dr. Moulay Tahar) with the talk: Title: The stochastic heat inclusion with fractional time derivative driven by time-space Brownian white noise Abstract: We study a time-fractional stochastic heat inclusion driven by additive time-space Brownian noise given by: ∂^α/∂t^α Y (t, x) ∈ λ∆Y (t, x) + G(t, x, Y (t, x)) + σW (t, x); (t, x) ∈ (0, ∞) × R^d. Here d ∈ N = {1, 2, ...} is the space dimension, x ∈ R^d denotes a point in space, t ≥ 0 denotes the time. Here d ∈ N = {1, 2, ...} is the space dimension, x ∈ R^d denotes a point in space, t ≥ 0 denotes the time. The fractional time derivative is interpreted as the Caputo derivative of order α ∈ (0, 2). We show the following: a) If a solution exists, then it is a fixed point of a specific set-valued map. b) Conversely, any fixed point of this map is a solution of the heat inclusion. We are looking forward to seeing you! Best regards, Giulia, Leonardo and Pere
participants (1)
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Leonardo Tarquini