Global well-posedness for Klein-Gordon-Hartree and fractional Hartree equations on modulation spaces

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dc.contributor.authorBhimani, Divyang
dc.date.accessioned2022-11-04T16:29:01Z
dc.date.available2022-11-04T16:29:01Z
dc.date.issued2021-12-21
dc.description.abstractWe study the Cauchy problems for the Klein-Gordon (HNLKG), wave (HNLW), and Schrodinger (HNLS) equations with cubic convolution (of Hartree type) nonlinearity. Some global well-posedness and scattering are obtained for the (HNLKG) and (HNLS) with small Cauchy data in some modulation spaces. Global well-posedness for fractional Schrodinger (fNLSH) equation with Hartree type nonlinearity is obtained with Cauchy data in some modulation spaces. Local well-posedness for (HNLW), (fHNLS) and (HNLKG) with rough data in modulation spaces is shown. As a consequence, we get local and global well-posedness and scattering in larger than usual Lp -Sobolev spaces.
dc.description.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBhimani, D. G. (2021). Global well-posedness for Klein-Gordon-Hartree and fractional Hartree equations on modulation spaces. <i>Electronic Journal of Differential Equations, 2021</i>(101), pp. 1-23.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16283
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, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectKlein-Gordon-Hartree equation
dc.subjectFractional Hartree equation
dc.subjectWave-Hartree equation
dc.subjectWell-posedness
dc.subjectModulation spaces
dc.subjectSmall initial data
dc.titleGlobal well-posedness for Klein-Gordon-Hartree and fractional Hartree equations on modulation spacesen_US
dc.typeArticle

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