A parabolic bipolynomial fractional Dirichlet-Laplace problem

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dc.contributor.authorIdczak, Dariusz
dc.date.accessioned2023-04-25T17:24:47Z
dc.date.available2023-04-25T17:24:47Z
dc.date.issued2022-07-31
dc.description.abstractWe derive existence results for a parabolic bipolynomial abstract and classical problems containing fractional powers of the Dirichlet-Laplace operator on a bounded domain, in the sense of the Stone-von Neumann operator calculus. The main tools are theorems on the existence and uniqueness of a weak solutions to an abstract problem, due to Friedman, and a general theorem on the equivalence of weak and strong solutions to some operator equation.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationIdczak, D. (2022). A parabolic bipolynomial fractional Dirichlet-Laplace problem. <i>Electronic Journal of Differential Equations, 2022</i>(56), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16646
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, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectParabolic equation
dc.subjectFractional Dirichlet-Laplace operator
dc.subjectExistence of solutions
dc.titleA parabolic bipolynomial fractional Dirichlet-Laplace problem
dc.typeArticle

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