A Riemann jump problem for biharmonic functions in fractal domains

DOI10.1007/s13324-020-00469-xzbMath1456.31003OpenAlexW3118642199MaRDI QIDQ2221313

Ricardo Abreu-Blaya

Publication date: 26 January 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-020-00469-x

zbMATH Keywords

Riemann boundary problembiharmonic functions

Mathematics Subject Classification ID

Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (1)

On the Riemann problem in fractal elastic media

Cites Work

• A Dirichlet problem for polyharmonic functions
• The Gauss-Green theorem for fractal boundaries
• A hierarchy of integral operators
• The sharpness of condition for solving the jump problem
• On Integral Representation Formulae for Biharmonic Functions on the Ball
• Integral Representations in Complex, Hypercomplex and Clifford Analysis
• The Dirichlet problem for polyanalytic functions
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