Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system

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dc.contributor.authorTesfahun, Achenef
dc.date.accessioned2021-08-18T18:12:48Z
dc.date.available2021-08-18T18:12:48Z
dc.date.issued2007-11-21
dc.description.abstractWe prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions is locally well-posed in a range of Sobolev spaces for the Dirac spinor and the meson field. The result contains and extends the earlier known results for the same problem. Our proof relies on the null structure in the system, and bilinear spacetime estimates of Klainerman-Machedon type.
dc.description.departmentMathematics
dc.formatText
dc.format.extent26 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTesfahun, A. (2007). Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system. <i>Electronic Journal of Differential Equations, 2007</i>(162), pp. 1-26.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14376
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectDirac equation
dc.subjectKlein-Gordon equation
dc.subjectLow regular solutions
dc.subjectLocal well-posedness
dc.titleLow regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system
dc.typeArticle

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