Trudy Moskovskogo Matematicheskogo Obshchestva
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Moskovskogo Matematicheskogo Obshchestva, 2014, Volume 75, Issue 2, Pages 277–308 (Mi mmo567)  
This article is cited in 5 scientific papers (total in 5 papers)

Necessary and sufficient condition for the stabilization of the solution of a mixed problem for nondivergence parabolic equations to zero

Yu. A. Alkhutova, V. N. Denisovb

a Vladimir State University
b M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (366 kB) Citations (5)
References:
PDF
HTML
Abstract: We consider the first boundary value problem in a cylindrical domain for a uniformly parabolic second-order equation in nondivergence form. The solution satisfies the homogeneous Dirichlet condition on the lateral surface of the cylinder, and the initial function is bounded. We show that if the coefficients of the equation satisfy the local and global Dini conditions, then a necessary and sufficient condition for the stabilization of the solution to zero coincides with a similar condition for the heat equation.
Received: 29.03.2014
English version:
Transactions of the Moscow Mathematical Society, 2014, Volume 75, Pages 233–258
DOI: https://doi.org/10.1090/S0077-1554-2014-00233-8
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: 35K10
Language: Russian
Citation: Yu. A. Alkhutov, V. N. Denisov, “Necessary and sufficient condition for the stabilization of the solution of a mixed problem for nondivergence parabolic equations to zero”, Tr. Mosk. Mat. Obs., 75, no. 2, MCCME, M., 2014, 277–308; Trans. Moscow Math. Soc., 75 (2014), 233–258
Citation in format AMSBIB
\Bibitem{AlkDen14}
\by Yu.~A.~Alkhutov, V.~N.~Denisov
\paper Necessary and sufficient condition for the stabilization of the solution of~a~mixed problem for nondivergence parabolic equations to zero
\serial Tr. Mosk. Mat. Obs.
\yr 2014
\vol 75
\issue 2
\pages 277--308
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo567}
\elib{https://elibrary.ru/item.asp?id=23780166}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2014
\vol 75
\pages 233--258
\crossref{https://doi.org/10.1090/S0077-1554-2014-00233-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960098271}
Linking options:
  • https://www.mathnet.ru/eng/mmo567
  • https://www.mathnet.ru/eng/mmo/v75/i2/p277
    • This publication is cited in the following 5 articles:
    1. I. V. Boikov, “Ustoichivost reshenii sistem parabolicheskikh uravnenii s zapazdyvaniyami”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2023, no. 1, 69–84  mathnet  crossref
    2. Nikolay Nefedov, Elena Polezhaeva, Natalia Levashova, “Stabilization of the Moving Front Solution of the Reaction-Diffusion-Advection Problem”, Axioms, 12:3 (2023), 253  crossref
    3. A. A. Kon'kov, “Geometric estimates of solutions of quasilinear elliptic inequalities”, Izv. Math., 84:6 (2020), 1056–1104  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    4. Tralli G., Uguzzoni F., “Boundary Regularity Problems For Some Elliptic-Parabolic Equations”, Matematiche, 75:1 (2020), 117–136  crossref  mathscinet  zmath  isi  scopus
    5. E. Lanconelli, G. Tralli, F. Uguzzoni, “Wiener-type tests from a two-sided Gaussian bound”, Ann. Mat. Pura Appl., 196:1 (2017), 217–244  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Moskovskogo Matematicheskogo Obshchestva
    Statistics & downloads:
    Abstract page:469
    Full-text PDF :136
    References:70
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025