On a direct decomposition of the space \({\mathcal L}_p(\Omega)\)

DOI10.4171/ZAA/917zbMath0940.30025OpenAlexW2082452319MaRDI QIDQ1969384

Uwe Kaehler

Publication date: 26 July 2000

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

Full work available at URL: https://eudml.org/doc/48464

zbMATH Keywords

decompositionsClifford analysisfluid problems

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Navier-Stokes equations (35Q30) Classical Banach spaces in the general theory (46B25) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (13)

Variational problems in Clifford analysis ⋮ Convergence of very weak solutions to \(A\)-Dirac equations in Clifford analysis ⋮ Dirichlet-type problems for the two-dimensional Helmholtz operator in complex quaternionic analysis ⋮ On the 2D quaternionic metaharmonic layer potentials ⋮ Complete function systems and decomposition results arising in Clifford analysis ⋮ Variational integral and some inequalities of a class of quasilinear elliptic system ⋮ Higher order Dirichlet-type problems in 2D complex quaternionic analysis ⋮ Dirichlet type problems in Hermitian Clifford analysis ⋮ Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations ⋮ Navier-Stokes equations with variable viscosity in variable exponent spaces of Clifford-valued functions ⋮ The stationary Navier-Stokes equations in variable exponent spaces of Clifford-valued functions ⋮ Boundary value problems for the Cimmino system via quaternionic analysis ⋮ Existence of stationary states for \(A\)-Dirac equations with variable growth

Cites Work

• Clifford analysis over unbounded domains
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