Nonlinear singular integral equations involving the Hilbert transform in Clifford analysis

DOI10.4171/ZAA/888zbMath0940.30027OpenAlexW2069579754MaRDI QIDQ1301258

Swanhild Bernstein

Publication date: 16 July 2000

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48465

zbMATH Keywords

Hilbert transformNemytskij operatorClifford analysisCauchy type transformmonotone integral operators

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05)

Cites Work

• Some recent developments in the theory of nonlinear singular integral equations
• Singular integral equations with monotone nonlinearity in complex Lebesgue spaces
• Nonlinear integral equations and systems of Hammerstein type
• Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
• Nonlinear maximal monotone operators in Banach space
• Convolution Singular Integrals on Lipschitz Surfaces
• Monotonicity Methods for Nonlinear Singular Integral and Integro‐Differential Equations
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