On Numerically Implementable Explicit Formulas for the Solutions to the 2D and 3D Equations $$\operatorname{div}(\alpha(w)\nabla w)=0$$ and $$\operatorname{div}(\beta\nabla w)=0$$ with Cauchy Data on an Analytic Boundary-Reference-Cited by-同舟云学术

On Numerically Implementable Explicit Formulas for the Solutions to the 2D and 3D Equations $$\operatorname{div}(\alpha(w)\nabla w)=0$$ and $$\operatorname{div}(\beta\nabla w)=0$$ with Cauchy Data on an Analytic Boundary

Published:2021-01 Issue:1 Volume:55 Page:52-58
ISSN:0016-2663
Container-title:Functional Analysis and Its Applications
language:en
Short-container-title:Funct Anal Its Appl

Author:

Demidov A. S.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1134/S0016266321010068.pdf

Reference4 articles.

1. A. S. Demidov, “Functional geometric method for solving free boundary problems for harmonic functions”, Uspekhi Mat. Nauk, 65:1(391) (2010), 3–96; English transl.: Russian Math. Surveys, 65:1 (2010), 1–94.

2. Grundlehren der Mathematischen Wissenschaften;V. I. Arnol’d,1983

3. A. D. Polyanin and V. F. Zaitsev, Handbook of Nonlinear Partial Differential Equations, CRC Press, Boca Raton, FL, 2012.

4. P. G. Grinevich and R. G. Novikov, “Moutard transforms for the conductivity equation”, Lett. Math. Phys., 109:10 (2019), 2209–2222.

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