Riemann boundary value problem for harmonic functions in Clifford analysis
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Publication:5169944
DOI10.1002/mana.201100302zbMath1294.30096OpenAlexW1575429852MaRDI QIDQ5169944
Publication date: 16 July 2014
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201100302
Related Items (10)
Boundary value problems for modified Helmholtz equations and applications ⋮ The Schwarz type lemma in upper half space in Clifford analysis ⋮ A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\) ⋮ On Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras ⋮ New versions of the Plemelj-Sochocki formula in Clifford analysis ⋮ The iterative properties of solutions for a singular k-Hessian system ⋮ The properties and iterative approximation of Cauchy-type integral operators associated with the Helmholtz equation ⋮ A note on Riemann problems for single-periodic polyanalytic functions ⋮ Dirac operators with gradient potentials and related monogenic functions ⋮ THE APPROXIMATE SOLUTION OF RIEMANN TYPE PROBLEMS FOR DIRAC EQUATIONS BY NEWTON EMBEDDING METHOD
Cites Work
- On linear and nonlinear Riemann-Hilbert problems for regular functions with values in a Clifford algebra
- On \(k\)-regular functions with values in a universal Clifford algebra
- The RH boundary value problem of the \(k\)-monogenic functions
- Iterated integral operators in Clifford analysis
- On the Riemann Hilbert type problems in Clifford analysis
- On Cauchy-Pompeiu formula for functions with values in a universal Clifford algebra.
- On the singularities of functions with values in a Clifford algebra
- A kind of Riemann and Hilbert boundary value problem for left monogenic functions in Rm (m ≥ 2)
- Some properties of operators in Clifford analysis
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