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Matematicheskie Zametki, 2002, Volume 72, Issue 1, Pages 48–53
DOI: https://doi.org/10.4213/mzm403 (Mi mzm403) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Second Boundary-Value Problem for Pseudoparabolic Equations in Noncylindrical Domains

M. V. Ivanova, V. I. Ushakov

Chelyabinsk State University
Full-text PDF (156 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm403
Abstract: This paper is devoted to the study of the solvability of the second mixed problem in a noncylindrical domain for the nonstationary equation
$$ \operatorname {div}(k(x)\operatorname {grad}u_t)-c(x)u_t-b(x)u(x,t)=f(x,t), $$
called the pseudoparabolic equation. We prove existence and uniqueness theorems for the solution in the case of contracting (as time $t$ increases) domains.
Received: 30.01.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 1, Pages 43–47
DOI: https://doi.org/10.1023/A:1019812920385
Bibliographic databases:
UDC: 517.945.9
Language: Russian
Citation: M. V. Ivanova, V. I. Ushakov, “The Second Boundary-Value Problem for Pseudoparabolic Equations in Noncylindrical Domains”, Mat. Zametki, 72:1 (2002), 48–53; Math. Notes, 72:1 (2002), 43–47
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    1. Abdelmalek Berrah, Arezki Kheloufi, “Lp-regularity results for parabolic equations with robin type boundary conditions in non-rectangular domains”, Filomat, 38:11 (2024), 3891  crossref
    2. M. Kh. Beshtokov, “Chislennyi metod resheniya vtoroi nachalno-kraevoi zadachi dlya mnogomernogo psevdoparabolicheskogo uravneniya tretego poryadka”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 31:3 (2021), 384–408  mathnet  crossref
    3. Beshtokov M.Kh., “A Numerical Method For Solving the Second Initial-Boundary Value Problem For a Multidimensional Third-Order Pseudoparabolic Equation”, Vestn. Udmurt. Univ.-Mat. Mekh. Kompyuternye Nauk., 31:3 (2021), 384–408  crossref  mathscinet  isi
    4. Popoviciu N., Tuba M., “The Solution of Second Mixed Problem for Vibrating Finite String with Nonzero Conditions in Both Heads by Using the Green Function Method”, Proceedings of the American Conference on Applied Mathematics: Recent Advances in Applied Mathematics, Mathematics and Computers in Science and Engineering, eds. Lagakos S., Perlovsky L., Jha M., Covaci B., Zaharim A., Mastorakis N., World Scientific and Engineering Acad and Soc, 2009, 217–221  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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