On linear and nonlinear Riemann-Hilbert problems for regular functions with values in a Clifford algebra

zbMath0722.30038MaRDI QIDQ755931

Zhen-Yuan Xu

Publication date: 1990

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

Clifford algebraSchauder fixed point principle

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Functions of hypercomplex variables and generalized variables (30G35) Boundary value problems in the complex plane (30E25) Second-order elliptic equations (35J15)

Related Items (11)

Boundary value problems for modified Helmholtz equations and applications ⋮ Generalized Cauchy theorem in Clifford analysis and boundary value problems for regular functions ⋮ Plemelj formula of inframonogenic functions and their boundary value problems ⋮ A boundary value problem for bihypermonogenic functions in Clifford analysis ⋮ Riemann boundary value problem for H-2-monogenic function in Hermitian Clifford analysis ⋮ Boundary value problems for quaternionic monogenic functions on non-smooth surfaces ⋮ Riemann boundary value problem for harmonic functions in Clifford analysis ⋮ Riemann-type problem in Hermitian Clifford analysis ⋮ Boundary value problems associated to a Hermitian Helmholtz equation ⋮ Dirac operators with gradient potentials and related monogenic functions ⋮ THE APPROXIMATE SOLUTION OF RIEMANN TYPE PROBLEMS FOR DIRAC EQUATIONS BY NEWTON EMBEDDING METHOD

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