Trace theorems for Sobolev spaces of variable order of differentiation

Hans Gerd Leopold; Elmar Schrohe

doi:10.1002/mana.19961790113

Trace theorems for Sobolev spaces of variable order of differentiation

Hans Gerd Leopold
, Elmar Schrohe

Research output: Contribution to journal › Article › Research › peer review

Abstract

We prove a trace theorem and an extension theorem for Sobolev spaces of variable order of differentiation which are defined by pseudodifferential operators.

Original language	English
Pages (from-to)	223-245
Number of pages	23
Journal	Mathematische Nachrichten
Volume	179
DOIs	https://doi.org/10.1002/mana.19961790113
Publication status	Published - 1996
Externally published	Yes

Keywords

Function spaces
Pseudodifferential operators
Trace theorems

ASJC Scopus subject areas

General Mathematics

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10.1002/mana.19961790113

Cite this

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title = "Trace theorems for Sobolev spaces of variable order of differentiation",

abstract = "We prove a trace theorem and an extension theorem for Sobolev spaces of variable order of differentiation which are defined by pseudodifferential operators.",

keywords = "Function spaces, Pseudodifferential operators, Trace theorems",

author = "Leopold, \{Hans Gerd\} and Elmar Schrohe",

year = "1996",

doi = "10.1002/mana.19961790113",

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pages = "223--245",

journal = "Mathematische Nachrichten",

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publisher = "Wiley-VCH Verlag",

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AU - Leopold, Hans Gerd

AU - Schrohe, Elmar

PY - 1996

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N2 - We prove a trace theorem and an extension theorem for Sobolev spaces of variable order of differentiation which are defined by pseudodifferential operators.

AB - We prove a trace theorem and an extension theorem for Sobolev spaces of variable order of differentiation which are defined by pseudodifferential operators.

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KW - Pseudodifferential operators

KW - Trace theorems

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DO - 10.1002/mana.19961790113

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SN - 0025-584X

VL - 179

SP - 223

EP - 245

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

ER -

Trace theorems for Sobolev spaces of variable order of differentiation

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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