Maximal estimates for fractional Schrödinger equations with spatial variable coefficient

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dc.contributor.authorZheng, Bo-wen
dc.date.accessioned2022-02-16T18:27:44Z
dc.date.available2022-02-16T18:27:44Z
dc.date.issued2018-07-03
dc.description.abstractLet v(r, t) = Ttv0(r) be the solution to a fractional Schrödinger equation where the coefficient of Laplacian depends on the spatial variable. We prove some weighted Lq estimates for the maximal operator generated by Tt with initial data in a Sobolev-type space.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZheng, B. W. (2018). Maximal estimates for fractional Schrödinger equations with spatial variable coefficient. <i>Electronic Journal of Differential Equations, 2018</i>(139), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15339
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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSchrödinger equation with spatial variable coefficient
dc.subjectMaximal estimate
dc.subjectHankel-Sobolev space
dc.titleMaximal estimates for fractional Schrödinger equations with spatial variable coefficient
dc.typeArticle

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