On normal solvability of a Dirichlet-type problem for a third-order improperly elliptic equation

DOI10.1080/17476933.2010.504851zbMath1254.35073OpenAlexW2139599500MaRDI QIDQ2892038

P. E. Meliksetyan, H. M. Hayrapetyan

Publication date: 18 June 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.504851

zbMATH Keywords

Dirichlet problemboundary-value problemweighted spacesimproperly elliptic equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Riemann-Hilbert problems in context of PDEs (35Q15) Higher-order elliptic equations (35J30)

Cites Work

• On the solvability of the Dirichlet problem with boundary functions in weighted spaces.
• Summability of generalized Fourier series and Dirichlet's problem in \(L^ p(d\mu)\) and weighted \(H^ p\)-spaces \((p>1)\)
• A FUNCTION THEORY METHOD IN ELLIPTIC PROBLEMS IN THE PLANE. II. THE PIECEWISE SMOOTH CASE

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