Titlebook: Lectures on Partial Differential Equations; Vladimir I. Arnold Textbook 2004 Springer-Verlag Berlin Heidelberg 2004 Boundary value problem

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Properties of Harmonic Functions,In this lecture we shall study the properties of harmonic functions, mostly in the plane, although some theorems will be proved in the n-dimensional case. We shall begin with the three-dimensional case.

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The Double-Layer Potential,We have thus found the fundamental solution for the Laplacian in ?.:for n>2,., where ω. is the surface of the unit ) sphere in ?.; for n = 2, . for n=1, ..

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Vladimir I. ArnoldA top textbook written by one of the most famous living mathematicians.Includes supplementary material:

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https://doi.org/10.1007/978-3-662-05441-3Boundary value problem; Potential; mathematical physics; partial differential equation; partial differen