Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

Quasiharmonic fields and Beltrami operators

Claudia Capone — 2002

Commentationes Mathematicae Universitatis Carolinae

A quasiharmonic field is a pair ℱ = [ B , E ] of vector fields satisfying div B = 0 , curl E = 0 , and coupled by a distorsion inequality. For a given ℱ , we construct a matrix field 𝒜 = 𝒜 [ B , E ] such that 𝒜 E = B . This remark in particular shows that the theory of quasiharmonic fields is equivalent (at least locally) to that of elliptic PDEs. Here we stress some properties of our operator 𝒜 [ B , E ] and find their applications to the study of regularity of solutions to elliptic PDEs, and to some questions of G-convergence.

Page 1

Download Results (CSV)