ON CHARACTERIZATION OF A QUASI-ELLIPTIC SYSTEM OF MINIMAL DIFFERENTIAL OPERATORS VIA ESTIMATES IN THE SCALE OF ANISOTROPIC SOBOLEV SPACES

We obtain a necessary condition for an ๐‘™-quasi-ellipticity of a system {๐‘ƒ๐‘—(๐‘ฅ,๐ท)}๐‘1 of minimal differential operators with constant ๐‘™-quasi-homogeneous principal parts {๐‘ƒ๐‘™๐‘— (๐ท)}๐‘1 via a priori estimates of weak coercivity type in the scale of anisotropic Sobolev spaces ๐‘Š๐‘™ ๐‘,0(ฮฉ), ๐‘ โˆˆ [1,โˆž].

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-03
DOI
https://doi.org/10.5281/zenodo.17052539
Primary Topic
Life Cycle Costing Analysis
Type
article
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article

ON CHARACTERIZATION OF A QUASI-ELLIPTIC SYSTEM OF MINIMAL DIFFERENTIAL OPERATORS VIA ESTIMATES IN THE SCALE OF ANISOTROPIC SOBOLEV SPACES

Zenodo (CERN European Organization for Nuclear Research)
Life Cycle Costing Analysis
article

ON CHARACTERIZATION OF A QUASI-ELLIPTIC SYSTEM OF MINIMAL DIFFERENTIAL OPERATORS VIA ESTIMATES IN THE SCALE OF ANISOTROPIC SOBOLEV SPACES

article en

Abstract

We obtain a necessary condition for an ๐‘™-quasi-ellipticity of a system {๐‘ƒ๐‘—(๐‘ฅ,๐ท)}๐‘1 of minimal differential operators with constant ๐‘™-quasi-homogeneous principal parts {๐‘ƒ๐‘™๐‘— (๐ท)}๐‘1 via a priori estimates of weak coercivity type in the scale of anisotropic Sobolev spaces ๐‘Š๐‘™ ๐‘,0(ฮฉ), ๐‘ โˆˆ [1,โˆž].

Zenodo (CERN European Organization for Nuclear Research)
Donetsk State University of Management (UA)
Openalex Percentile: Top 35%
Life Cycle Costing Analysis
DOIOpen Access PDFOpenAlex
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ON CHARACTERIZATION OF A QUASI-ELLIPTIC SYSTEM OF MINIMAL DIFFERENTIAL OPERATORS VIA ESTIMATES IN THE SCALE OF ANISOTROPIC SOBOLEV SPACES ยท Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS