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

DOI10.1134/S0081543806040109zbMath1349.46036OpenAlexW2084213524MaRDI QIDQ2342262

Yulii A. Dubinskii

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543806040109

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

A Hardy-type inequality and its applications ⋮ A nonpercolation problem for the stationary Navier-Stokes equations ⋮ Bilateral scales of Hardy inequalities and their applications to some problems of mathematical physics ⋮ Boundary value problem for stationary Stokes equations with impermeability boundary condition ⋮ Irrotational and solenoidal fields in the spaces \(W_p^m\) ⋮ Nonpercolation boundary problem for the stationary Stokes system

Cites Work

• Complex Neumann type boundary problem and decomposition of Lebesgue spaces.
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