Irrotational and solenoidal fields in the spaces \(W_p^m\)

DOI10.1134/S1064562408050013zbMath1185.46023MaRDI QIDQ1048483

I. A. Borovikov

Publication date: 12 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacescomplemented subspace

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Bilateral scales of Hardy inequalities and their applications to some problems of mathematical physics

Cites Work

• Unnamed Item
• Decomposition of the spaces \(W_p^m\) and \(D_p^{m,k}\) into sums of solenoidal and potential subspaces and factorization inequalities
• Decompositions of the Sobolev-Clifford modules and nonlinear variational problems
• Decompositions of the Sobolev scale and gradient-divergence scale into the sum of solenoidal and potential subspaces
• The method of orthogonal projection in potential theory

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