A. B. Muravnik, “Stabilization of Solutions of Certain Singular Quasilinear Parabolic Equations”, Mat. Zametki, 74:6 (2003), 858–865; Math. Notes, 74:6 (2003), 812

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Matematicheskie Zametki, 2003, Volume 74, Issue 6, Pages 858–865
DOI: https://doi.org/10.4213/mzm312 (Mi mzm312)

This article is cited in 12 scientific papers (total in 12 papers)

Stabilization of Solutions of Certain Singular Quasilinear Parabolic Equations

A. B. Muravnik

Moscow Aviation Institute

Full-text PDF (211 kB) Citations (12)

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DOI: https://doi.org/10.4213/mzm312

Abstract: In this paper, we study singular parabolic equations with “quadratic nonlinearity”. We consider questions of unique solvability, of stabilization of solutions at infinity, and of the presence of positive solutions.

Received: 22.12.2000

English version:
Mathematical Notes, 2003, Volume 74, Issue 6, Pages 812–818
DOI: https://doi.org/10.1023/B:MATN.0000009017.92243.f6

Bibliographic databases:

UDC: 517.956

Language: Russian

Citation: A. B. Muravnik, “Stabilization of Solutions of Certain Singular Quasilinear Parabolic Equations”, Mat. Zametki, 74:6 (2003), 858–865; Math. Notes, 74:6 (2003), 812–818

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm312

https://doi.org/10.4213/mzm312

https://www.mathnet.ru/eng/mzm/v74/i6/p858

This publication is cited in the following 12 articles:

Khitam Alzamili, “About mean value theorems for the singular parabolic equation”, Bol. Soc. Mat. Mex., 29:2 (2023)
Andrey B. Muravnik, “Qualitative Properties of Solutions of Equations and Inequalities with KPZ-Type Nonlinearities”, Mathematics, 11:4 (2023), 990
N. V. Zaitseva, “Mixed Problems with Integral Conditions for Hyperbolic Equations with the Bessel Operator”, Diff Equat, 59:S1 (2023), 1
Elina Shishkina, Sergei Sitnik, Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics, 2020, 1
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics, 2020, 527
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics, 2020, xv
A. B. Muravnik, “On qualitative properties of sign-constant solutions of some quasilinear parabolic problems”, J. Math. Sci. (N. Y.), 257:1 (2021), 85–94
V. V. Katrakhov, S. M. Sitnik, “Metod operatorov preobrazovaniya i kraevye zadachi dlya singulyarnykh ellipticheskikh uravnenii”, Singulyarnye differentsialnye uravneniya, SMFN, 64, no. 2, Rossiiskii universitet druzhby narodov, M., 2018, 211–426
A. B. Muravnik, “On qualitative properties of solutions to quasilinear parabolic equations admitting degenerations at infinity”, Ufa Math. J., 10:4 (2018), 77–84
A. B. Muravnik, “Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem”, Journal of Mathematical Sciences, 216:3 (2016), 345–496
A. B. Muravnik, “On stabilization of solutions of singular elliptic equations”, J. Math. Sci., 150:5 (2008), 2408–2421
Muravnik, AB, “On the Cauchy problem for differential-difference parabolic equations with high-order nonlocal terms of general kind”, Discrete and Continuous Dynamical Systems, 16:3 (2006), 541

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	63
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