Boundary condition of the volume potential for an elliptic-parabolic equation with a scalar parameter

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dc.contributor.authorKal'menov, Tynysbek
dc.contributor.authorArepova, Gaukhar
dc.contributor.authorArepova, Dana
dc.date.accessioned2022-02-14T20:47:23Z
dc.date.available2022-02-14T20:47:23Z
dc.date.issued2018-06-23
dc.description.abstractUsing the descent method for the fundamental solution of the heat equation with a scalar parameter, we find the fundamental solution of the multidimensional Helmholtz equation in an explicit form. We also find a boundary condition of the volume potential for an elliptic-parabolic equation with a scalar parameter. In turn, this condition allows us to construct and study a new correct nonlocal (initial) Bitsadze-Samarsky type problem for an elliptic-parabolic equation with a scalar parameter.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKal'menov, T. S., Arepova, G. D., & Arepova, D. D. (2018). Boundary condition of the volume potential for an elliptic-parabolic equation with a scalar parameter. <i>Electronic Journal of Differential Equations, 2018</i>(129), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15329
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
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.subjectBoundary conditions
dc.subjectDescent method
dc.subjectFundamental solutions
dc.subjectElliptic-parabolic equation
dc.subjectNewton's potential
dc.subjectVolume heat potential
dc.subjectSurface heat potential
dc.titleBoundary condition of the volume potential for an elliptic-parabolic equation with a scalar parameter
dc.typeArticle

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