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

DOI10.1134/S0016266321010068OpenAlexW3196916832WikidataQ114075305 ScholiaQ114075305MaRDI QIDQ2234383

A. S. Demidov

Publication date: 19 October 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266321010068

zbMATH Keywords

Cauchy problemelliptic equationexplicit formula

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

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• Moutard transforms for the conductivity equation
• Functional geometric method for solving free boundary problems for harmonic functions

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