Decompositions of \(L^ q\) and \(H^{1,q}_ 0\) with respect to the operator rot

DOI10.1007/BF01444533zbMath0738.46014MaRDI QIDQ1814594

Regina Griesinger

Publication date: 25 June 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164735

zbMATH Keywords

decompositiona priori estimatesHelmholtz decompositionstarlike domains

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30)

Related Items (1)

Classical solutions for the system \(\operatorname{curl} v = g\), with vanishing Dirichlet boundary conditions

Cites Work

• On Dirichlet's boundary value problem. An \(L^p\)-theory based on a generalization of Garding's inequality
• Decomposition Theorems for Solenoidal Vector Fields
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