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Sbornik: Mathematics, 2000, Volume 191, Issue 5, Pages 725–757
DOI: https://doi.org/10.1070/sm2000v191n05ABEH000479 (Mi sm479) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On a class of pseudodifferential operators in $\mathbb R^m$ and on stratified manifolds

B. A. Plamenevskii, V. N. Senichkin

Saint-Petersburg State University
English version PDF (429 kB) Citations (8)
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DOI: https://doi.org/10.1070/sm2000v191n05ABEH000479
Abstract: A class of pseudodifferential operators in a subdomain of $\mathbb R^m$ that is well adapted to the transfer to manifolds with (intersecting) edges of various dimensions is considered. A version of symbolic calculus is discussed. The operators in question act in Sobolev spaces with weighted norms. Stratified manifolds (with edges as strata) are introduced and pseudodifferential operators on such manifolds are defined.
Received: 19.04.1999
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 5, Pages 109–142
DOI: https://doi.org/10.4213/sm479
Bibliographic databases:
UDC: 517.98
MSC: Primary 58G15, 47G30; Secondary 58A35
Language: English
Original paper language: Russian
Citation: B. A. Plamenevskii, V. N. Senichkin, “On a class of pseudodifferential operators in $\mathbb R^m$ and on stratified manifolds”, Mat. Sb., 191:5 (2000), 109–142; Sb. Math., 191:5 (2000), 725–757
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:217
    English version PDF:17
    References:79
    First page:1
     
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