ScholarLens Back to search
1992•SIAM Journal on Mathematical AnalysisRequires access

Some Trace Theorems in Anisotropic Sobolev Spaces

Patrick Joly

Open publisher page 8 citations

Abstract

Anisotropic Sobolev spaces are functional spaces of Sobolev’s type in which different space directions have different roles. In the case of dimension 2, some new trace theorems in such spaces for very general open sets are proved. A sense is also given of the corresponding Green’s formula via a generalized concept of Cauchy principal value.

About this research paper

What this paper is about

Anisotropic Sobolev spaces are functional spaces of Sobolev’s type in which different space directions have different roles. In the case of dimension 2, some new trace theorems in such spaces for very general open sets are proved. A sense is also given of the corresponding Green’s formula via a generalized concept of Cauchy principal value.

Why it matters

OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Anisotropic Sobolev spaces are functional spaces of Sobolev’s type in which different space directions have different roles. In the case of dimension 2, some new trace theorems in such spaces for very general open sets are proved. A sense is also given of the corresponding Green’s formula via a generalized concept of Cauchy principal value.

Key concepts: Sobolev space, Mathematics, Sobolev inequality, Interpolation space, Sobolev spaces for planar domains, TRACE (psycholinguistics), Birnbaum–Orlicz space, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Some Trace Theorems in Anisotropic Sobolev Spaces — Research Paper | ScholarLens