A Cauchy-Kowalevski theorem for inframonogenic functions
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Publication:3000335
zbMath1235.30031arXiv0911.0716MaRDI QIDQ3000335
Dixan Peña Peña, Helmuth R. Malonek, Fransiscus Sommen
Publication date: 18 May 2011
Full work available at URL: https://arxiv.org/abs/0911.0716
Functions of hypercomplex variables and generalized variables (30G35) Initial value problems for linear higher-order PDEs (35G10)
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A Cauchy integral formula for inframonogenic functions in Clifford analysis ⋮ On \((\phi,\psi)\)-inframonogenic functions in Clifford analysis ⋮ Integral representation formulas for higher order Dirac equations ⋮ Boundary value problems for the Lamé-Navier system in fractal domains ⋮ On the Dirichlet problem for second order elliptic systems in the ball ⋮ Two spheres uniquely determine infrabimonogenic functions ⋮ Inframonogenic decomposition of higher‐order Lipschitz functions ⋮ Boundary value problems for a second‐order elliptic partial differential equation system in Euclidean space ⋮ Plemelj formula of inframonogenic functions and their boundary value problems ⋮ Transmission boundary value problems for the Lamé-Navier system ⋮ Reduced‐quaternion inframonogenic functions on the ball ⋮ Integral representation formulas related to the Lamé-Navier system ⋮ On structure of inframonogenic functions ⋮ A Cauchy integral formula for infrapolymonogenic functions in Clifford analysis ⋮ Generalizations of harmonic functions in \(\mathbb{R}^m\) ⋮ Comparing harmonic and inframonogenic functions in Clifford analysis ⋮ Isomorphisms of partial differential equations in Clifford analysis ⋮ On a generalized Lamé-Navier system in \(\mathbb{R}^3\) ⋮ Cauchy-Kovalevskaya extension theorem in fractional Clifford analysis ⋮ Sets of uniqueness for infrapolymonogenic functions
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