On recovering parabolic diffusions from their time-averages

The paper study a possibility to recover a parabolic diffusion from its time-average when the values at the initial time are unknown. This problem can be reformulated as a new boundary value problem where a Cauchy condition is replaced by a prescribed time-average of the solution. It is shown that t...

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Bibliographic Details
Main Author: Dokuchaev, Nikolai
Format: Journal Article
Published: Springer Nature 2019
Online Access:http://hdl.handle.net/20.500.11937/75202