On Hilbert and Riemann problems for generalized analytic functions and applications

DOI10.1007/s13324-020-00440-wzbMath1456.30087OpenAlexW3108121823MaRDI QIDQ2220140

Yanyan Li

Publication date: 21 January 2021

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

Full work available at URL: https://doi.org/10.1007/s13324-020-00440-w

zbMATH Keywords

HilbertPoisson equationsNeumanngeneralized analytic and harmonic functionsPoincaré and Riemann boundary value problems

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value problems in the complex plane (30E25) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items

Toward the theory of semi-linear Beltrami equations, On a Riemann-Hilbert problem for \(\Psi\)-hyperholomorphic functions in \(\mathbb{R}^m\), The Dirichlet problem for the Beltrami equations with sources, Some applied aspects of the Dirac delta function, Hilbert and Poincaré problems for semi-linear equations in rectifiable domains, On the Hilbert problem for semi-linear Beltrami equations, Noether property and approximate solution of the Riemann boundary value problem on closed curves, Logarithmic potential and generalized analytic functions

Cites Work

• On the boundary-value problems for quasiconformal functions in the plane
• Infinite dimension of solutions of the Dirichlet problem
• On Neumann and Poincare problems for Laplace equation
• Stieltjes integrals in the theory of harmonic functions
• Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions
• Partial Differential Relations
• On Hilbert and Riemann problems. An alternative approach
• On the Riemann-Hilbert problem IV
• CURVILINEAR CLUSTER SETS OF ARBITRARY FUNCTIONS
• REGULAR FUNCTIONS WITH PRESCRIBED MEASURABLE BOUNDARY VALUES ALMOST EVERYWHERE
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