Kal'menov, TynysbekArepova, GaukharArepova, Dana2022-02-142022-02-142018-06-23Kal'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. 1-14.1072-6691https://hdl.handle.net/10877/15329Using 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalBoundary conditionsDescent methodFundamental solutionsElliptic-parabolic equationNewton's potentialVolume heat potentialSurface heat potentialBoundary condition of the volume potential for an elliptic-parabolic equation with a scalar parameterArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.