Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 193, Pages 3–10
DOI: https://doi.org/10.36535/0233-6723-2021-193-3-10 (Mi into794) 		 
Boundedness theorem for one class of pseudodifferential equations with degeneration

A. D. Baevab, A. A. Babaitsevb, V. D. Kharchenkob

a Voronezh State University, Faculty of Mathematics
b Voronezh State University
Full-text PDF (162 kB)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2021-193-3-10
Abstract: In this paper, we prove a boundedness theorem for one class of pseudodifferential equations with degeneration. We consider a new class of variable symbols depending on a complex parameter. Pseudodifferential operators are constructed by a special integral transformation. The boundedness theorem for these operators is proved in special weighted Sobolev-type spaces.
Keywords: pseudodifferential operator with degeneration, boundedness theorem, weighted Sobolev space.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 14.Z50.31.0037
Russian Science Foundation 19.11.00197
This work was supported by the Ministry of Education and Science of the Russian Federation (project No. 14.Z50.31.0037) and the Russian Science Foundation (project No. 19.11.00197).
Document Type: Article
UDC: 517.956
MSC: 35S05
Language: Russian
Citation: A. D. Baev, A. A. Babaitsev, V. D. Kharchenko, “Boundedness theorem for one class of pseudodifferential equations with degeneration”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 193, VINITI, Moscow, 2021, 3–10
Citation in format AMSBIB
\Bibitem{BaeBabKha21}
\by A.~D.~Baev, A.~A.~Babaitsev, V.~D.~Kharchenko
\paper Boundedness theorem for one class of pseudodifferential equations with degeneration
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 193
\pages 3--10
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into794}
\crossref{https://doi.org/10.36535/0233-6723-2021-193-3-10}
Linking options:
  • https://www.mathnet.ru/eng/into794
  • https://www.mathnet.ru/eng/into/v193/p3
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:97
    Full-text PDF :43
    References:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024