Complex Neumann type boundary problem and decomposition of Lebesgue spaces.

DOI10.3934/DCDS.2004.10.201zbMath1053.30032OpenAlexW2043751951MaRDI QIDQ1433917

Yulii A. Dubinskii

Publication date: 1 July 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.201

zbMATH Keywords

Poincaré inequalityPoisson equationcomplex Neumann problemorthogonal decomposition of Lebesgue space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary value problems in the complex plane (30E25) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Functional analysis techniques applied to functions of several complex variables (32A70)

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Decompositions of the Sobolev scale and gradient-divergence scale into the sum of solenoidal and potential subspaces

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