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dc.contributor.authorDokuchaev, Nikolai
dc.identifier.citationDokuchaev, N. 2019. On recovering parabolic diffusions from their time-averages. Calculus of Variations and Partial Differential Equations. 58: Article ID 27.

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 this new problem is well-posed in certain classes of solutions. The paper establishes existence, uniqueness, and a regularity of the solution for this new problem and its modifications, including problems with singled out terminal values.

dc.publisherSpringer Nature
dc.titleOn recovering parabolic diffusions from their time-averages
dc.typeJournal Article
dcterms.source.titleCalculus of Variations and Partial Differential Equations

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curtin.departmentSchool of Electrical Engineering, Computer and Mathematics Science (EECMS)
curtin.accessStatusOpen access
curtin.facultyFaculty of Science and Engineering
curtin.contributor.orcidDokuchaev, Nikolai [0000-0002-9951-8904]
curtin.contributor.scopusauthoridDokuchaev, Nikolai [55883198000]

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