A general product measurability theorem with applications to variational inequalities

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dc.contributor.authorKuttler, Kenneth
dc.contributor.authorLi, Ji
dc.contributor.authorShillor, Meir
dc.date.accessioned2023-06-20T20:42:44Z
dc.date.available2023-06-20T20:42:44Z
dc.date.issued2016-03-31
dc.description.abstractThis work establishes the existence of measurable weak solutions to evolution problems with randomness by proving and applying a novel theorem on product measurability of limits of sequences of functions. The measurability theorem is used to show that many important existence theorems within the abstract theory of evolution inclusions or equations have straightforward generalizations to settings that include random processes or coefficients. Moreover, the convex set where the solutions are sought is not fixed but may depend on the random variables. The importance of adding randomness lies in the fact that real world processes invariably involve randomness and variability. Thus, this work expands substantially the range of applications of models with variational inequalities and differential set-inclusions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKuttler, K. L., Li, J., & Shillor, M. (2016). A general product measurability theorem with applications to variational inequalities. Electronic Journal of Differential Equations, 2016(90), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16962
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPartial differential inclusions
dc.subjectProduct measurability
dc.subjectVariational inequalities
dc.subjectMeasurable selection
dc.titleA general product measurability theorem with applications to variational inequalities
dc.typeArticle

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