On the boundary values of the solutions of elliptic equations

DOI10.1007/BF01442894zbMath0452.35040MaRDI QIDQ1148457

V. P. Mikhailov

Publication date: 1980

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemelliptic equationsexistence and uniquenessboundary value of the solutions

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items

The Dirichlet problem in half-space for elliptic equations with unbounded coefficients, Generalized exterior boundary-value problems and optimization for the Helmholtz equation, Note on the Dirichlet problem with \(L^ 2-\)boundary data, Singularly perturbed differential equations with discontinuous coefficients and concentrated factors, Dirichlet problem for a linear elliptic equation in unbounded domains with \(L^ 2\)-boundary data, Boundary integral equations for the Helmholtz equation: The third boundary value problem, Energy stability for a class of two-dimensional interface linear parabolic problems, On the boundary values of the solutions of linear elliptic equations, On the Dirichlet problem for a semi-linear elliptic equation with \(L^ 2\)-boundary data

Cites Work

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• ON THE BOUNDARY VALUES OF SOLUTIONS OF ELLIPTIC EQUATIONS IN DOMAINS WITH A SMOOTH BOUNDARY
• Theorems on Fourier Series and Power Series (II)^†
• Nuovo tipo di condizione al contorno e nuovo metodo di trattazione per il problema generalizzato di dirichlet
• On the Behaviour of Harmonic Functions at the Boundary