On the Microlocal Properties of the Range of Systems of Principal Type
書誌事項
- 公開日
- 2013-03-04
- 資源種別
- journal article
- DOI
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- 10.1080/03605302.2012.747537
- 10.48550/arxiv.1108.2124
- 公開者
- Informa UK Limited
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説明
The purpose of this paper is to study microlocal conditions for inclusion relations between the ranges of square systems of pseudodifferential operators which fail to be locally solvable. The work is an extension of earlier results for the scalar case in this direction, where analogues of results by L. H��rmander about inclusion relations between the ranges of first order differential operators with coefficients in $C^\infty$ which fail to be locally solvable were obtained. We shall study the properties of the range of systems of principal type with constant characteristics for which condition (��) is known to be equivalent to microlocal solvability.
Added Theorem 4.7, Corollary 4.8 and Lemma A.4, corrected misprints. The paper has 40 pages
収録刊行物
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- Communications in Partial Differential Equations
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Communications in Partial Differential Equations 38 (3), 410-454, 2013-03-04
Informa UK Limited
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詳細情報 詳細情報について
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- CRID
- 1360004234140465152
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- ISSN
- 15324133
- 03605302
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- 資料種別
- journal article
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- データソース種別
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