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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2005 Volume 6, Issue 1, Pages 66–70 (Mi vmp630)

This article is cited in 3 papers

Construction of the fundamental solution to a parabolic equation with degeneracy

Yu. P. Gor'kov

Lomonosov Moscow State University, Research Computing Center

Abstract: The fundamental solution to the parabolic equation $u_{yy}-\operatorname{Sgn}y|y|^pu_x=0$ is constructed.

Keywords: parabolic equation, fundamental solution, boundary-value problem, integral equations, uniqueness of solution.

UDC: 517.956.223



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