scientific article; zbMATH DE number 5253993

zbMath1132.30351MaRDI QIDQ5452323

Wolfgang Tutschke

Publication date: 26 March 2008

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Generalized monogenic functions, Clifford-analytic normal form of first order systems, fundamental solution of the Cauchy-Riemann system of Clifford analysis, reduction of boundary value problems to fixed-point problems

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Nonlinear first-order PDEs (35F20) Boundary value problems for nonlinear first-order PDEs (35F30) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (10)

A quaternionic treatment of inhomogeneous Cauchy-Riemann type systems in some traditional theories ⋮ Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals ⋮ On solving systems of autonomous ordinary differential equations by reduction to a variable of an algebra ⋮ Boundary value problems for non-linear first order systems of partial differential equations in higher dimensions, especially in three dimensions ⋮ Dirichlet boundary value problem for monogenic functions in Clifford analysis ⋮ Bergman theory for the inhomogeneous Cimmino system ⋮ A Dirichlet boundary value problem for fractional monogenic functions in the Riemann-Liouville sense ⋮ Boundary value problems for the Cimmino system via quaternionic analysis ⋮ A modified Dirac operator in parameter-dependent Clifford algebra: A physical realization ⋮ The distinguishing boundary for monogenic functions of Clifford analysis

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