Persons: Gladkov, Alexander

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Gladkov, Alexander

Total publications:	54 (54)
in MathSciNet:	16 (16)
in zbMATH:	46 (46)
in Web of Science:	37 (37)
in Scopus:	31 (31)
Cited articles:	29
Citations:	219
Presentations:	2

Number of views:
This page:	6733
Abstract pages:	3993
Full texts:	1420
References:	263

Professor

Doctor of physico-mathematical sciences (2001)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

Birth date:

11.12.1958

E-mail:

Keywords:

existence, uniqueness, qualitative behavior of solutions.

UDC:

517.9, 517.956, 517.955, 517

MSC:

35k55, 35k60, 35k65, 35k25, 35j60, 35k10, 35j10, 35J65

Subject:

Nonlinear parabolic and elliptic equations.

Biography

Graduated from Faculty of Mathematics and Mechanics of Moscow State University in 1981. Ph.D. thesis was defended in 1985 in Moscow State University. D.Sci. thesis was defended in 2001 in Belarusian State University. Vice president of Vitebsk State University since 2007. Head of the Department of Mathematical Cybernetics of Belarusian State University since 2013.

Main publications:

Gladkov A. L., “The Cauchy problem for certain degenerate quasilinear parabolic equations with absorption”, Siberian Mathematical Journal, 34:1 (1993), 37–54
Gladkov A. L., “Behaviour of solutions of certain quasilinear parabolic equations with power-type non-linearities”, Sbornik: Mathematics, 191:3 (2000), 341–358
Gladkov A., Guedda M., “Diffusion-absorption equation without growth restrictions on the data”, Journal of Mathematical Analysis and Applications, 274:1 (2002), 16–37
Gladkov A., Slepchenkov N., “Entire solutions of quasilinear elliptic equations”, Nonlinear Analysis, 66:3 (2007), 750–775
Gladkov A., Guedda M., Kersner R., “KPZ growth model with possibly unbounded data: correctness and blow-up”, Nonlinear Analysis, 68:7 (2008), 2079–2091

https://www.mathnet.ru/eng/person8323

List of publications on Google Scholar

https://zbmath.org/authors/ai:ai:gladkov.alexander-l

https://mathscinet.ams.org/mathscinet/MRAuthorID/252091

https://elibrary.ru/author_items.asp?authorid=623424

https://orcid.org/0000-0002-6255-1161

https://publons.com/researcher/G-2335-2011

https://www.webofscience.com/wos/author/record/G-2335-2011

https://www.scopus.com/authid/detail.url?authorId=35616639400

https://www.researchgate.net/profile/Alexander_Gladkov

https://arxiv.org/a/gladkov_a_1.html

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	A. Gladkov, “Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition”, Monatshefte fur Mathematik, 203:2 (2024), 357–372 , arXiv: 2208.05731	1 ^[x]
2.	A. Gladkov, “Global Existence and Blow-up of Solutions for a Parabolic Equation with Nonlinear Memory and Absorption under Nonlinear Nonlocal Boundary Condition”, Lobachevskii Journal of Mathematics, 45:4 (2024), 1703 - 1712 , arXiv: 2402.05040

2023
3.	A. Gladkov, “Initial boundary value problem with nonlocal boundary condition for a nonlinear parabolic equation with memory”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 2 (2023), 18–27

2022
4.	A. Gladkov, S. Sergeenko, “Nonexistence of nonnegative entire solutions of semilinear elliptic systems”, Complex Variables and Elliptic Equations, 67:1 (2022), 49–60 , arXiv: 2003.01372

2020
5.	Alexander Gladkov, Tatiana Kavitova, “Global existence of solutions of initial-boundary value problem for nonlocal parabolic equation with nonlocal boundary condition”, Mathematical Methods in the Applied Sciences, 43:8 (2020), 5464 – 5479 , arXiv: 1903.11742	7 ^[x]
6.	A. Gladkov , M. Guedda, “Global existence of solutions of a semilinear heat equation with nonlinear memory condition”, Applicable Analysis, 99:16 (2020), 2823–2832 , arXiv: 1903.11822	1 ^[x]
7.	A. Gladkov , M. Guedda, “Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions”, Electronic Journal of Qualitative Theory of Differential Equations, 2020 (2020), 1-11 , arXiv: 2006.02131

2019
8.	A.L. Gladkov, A.I. Nikitin, “Printsip sravneniya reshenii nachalno-kraevoi zadachi dlya sistemy polulineinykh parabolicheskikh uravnenii s nelineinymi nelokalnymi granichnymi usloviyami”, Vesnik Vitsebskaga dzyarzhaўnaga universiteta, 2019, no. 4, 5–9
9.	A.L. Gladkov, T.V. Kavitova, “Pismo v redaktsiyu”, Zhurnal Belorusskogo gosudarstvennogo universiteta. Matematika. Informatika, 2019, no. 1, 33–34

2018
10.	A. L. Gladkov, A. I. Nikitin, “O mnozhestve razrusheniya reshenii nachalno-kraevoi zadachi dlya sistemy parabolicheskikh uravnenii s nelokalnymi granichnymi usloviyami”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 2 (2018), 17–24
11.	A. L. Gladkov, T. V. Kavitova, “O nachalno-kraevoi zadache dlya nelokalnogo parabolicheskogo uravneniya s nelokalnym granichnym usloviem”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 1 (2018), 29–38	1 ^[x]
12.	A. Gladkov, A. Nikitin, “On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions”, Differential Equations, 54:1 (2018), 86–105

2017
13.	A. Gladkov, “Blow-up problem for semilinear heat equation with nonlinear nonlocal neumann boundary condition”, Communications on Pure and Applied Analysis, 16:6 (2017), 2053–2068 , arXiv: 1611.05273	3 ^[x]
14.	A. Gladkov, “Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition”, Lithuanian Mathematical Journal, 57:4 (2017), 468–478 , arXiv: 1602.05018	10 ^[x]

2016
15.	A. Gladkov, T. Kavitova, “Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition”, Applicable Analysis, 95:9 (2016), 1974–1988 , arXiv: 1503.08296	16 ^[x]
16.	A. Gladkov, T. Kavitova, “Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions”, Ukrainian Mathematical Journal, 68:2 (2016), 179–192 , arXiv: 1412.5021	10 ^[x]
17.	A. Gladkov, A. Nikitin, “On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions”, Differential Equations, 52:4 (2016), 467–482

2015
18.	A. Gladkov, “Self-Similar Blow-Up Solutions of the KPZ Equation”, International Journal of Differential Equations, 2015, 1–5 , arXiv: 1411.5505

2014
19.	A. Gladkov, A. Nikitin, “A reaction-diffusion system with nonlinear nonlocal boundary conditions”, International Journal of Partial Differential Equations, 2014, 1-10	3 ^[x]

2012
20.	A. Gladkov , M. Guedda, “Semilinear heat equation with absorption and a nonlocal boundary condition”, Applicable Analysis, 91:12 (2012), 2267–2276	12 ^[x]

2011
21.	A. Gladkov , M. Guedda, “Blow-up problem for semilinear heat equation with absorption and a nonlocal boundary condition”, Nonlinear Analysis, Theory, Methods and Applications, 74:13 (2011), 4573–4580	21 ^[x]

2009
22.	A. Gladkov, K.Ik Kim, “Uniqueness and nonuniqueness for reaction-diffusion equation with nonlocal boundary condition”, Advances in Mathematical Sciences and Applications, 19:1 (2009), 39–49
23.	A. Gladkov, “Stabilization of solutions for semilinear parabolic systems as \|x\|→∞”, Electronic Journal of Differential Equations, 2009, 1–5

2008
24.	A. Gladkov , M. Guedda, R. Kersner, “A KPZ growth model with possibly unbounded data: Correctness and blow-up”, Nonlinear Analysis, Theory, Methods and Applications, 68:7 (2008), 2079–2091	9 ^[x]
25.	A. Gladkov, K. Ik Kim, “Blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition”, Journal of Mathematical Analysis and Applications, 338:1 (2008), 264–273	34 ^[x]

2007
26.	A. Gladkov, N. Slepchenkov, “Entire solutions of quasilinear elliptic equations”, Nonlinear Analysis, Theory, Methods and Applications, 66:3 (2007), 750–775	4 ^[x]

2006
27.	A. L. Gladkov, N. L. Slepchenkov, “On entire solutions of a semilinear elliptic equation on the plane”, Differ. Equ., 42:6 (2006), 842–852

2005
28.	A. L. Gladkov, N. L. Slepchenkov, “On Proper and Entire Solutions of a Generalized Emden–Fowler Equation”, Differ. Equ., 41:2 (2005), 173–183
29.	A. Gladkov, S. Prokhozhy, “Vanishing of solutions of diffusion equation with convection and absorption”, Electronic Journal of Differential Equations, 2005, 1–14

2004
30.	A. Gladkov, N. Slepchenkov, “Entire solutions of semilinear elliptic equations”, Electronic Journal of Differential Equations, 2004, 1-10

2003
31.	A. Gladkov, M. Guedda, S. Prokhozhy, “Cauchy problem for higher-order parabolic equations with arbitrary growing at infinity initial data”: Agarwal, Ravi P. (ed.) et al., Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 1., Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1711-1/hbk), 2003, 563–576

2002
32.	A. Gladkov , M. Guedda, “Diffusion–absorption equation without growth restrictions on the data at infinity”, Journal of Mathematical Analysis and Applications, 274:1 (2002), 16–37	10 ^[x]

2001
33.	A. L. Gladkov, “The Filtration-Absorption Equation with a Variable Coefficient”, Differ. Equ., 37:1 (2001), 45–50
34.	A.L. Gladkov, M. Gedda, R. Kershner, “Zadacha Koshi dlya uravneniya Kardara-Parizi-Zhanga”, Doklady Natsionalnoi akademii nauk Belarusi, 45:3 (2001), 11–14

2000
35.	A. L. Gladkov, “Behaviour of solutions of certain quasilinear parabolic equations with power-type non-linearities”, Sb. Math., 191:3 (2000), 341–358
36.	A.L. Gladkov, “Nachalno-kraevaya zadacha dlya parabolicheskikh uravnenii vysokogo poryadka”, Doklady Natsionalnoi akademii nauk Belarusi, 44:6 (2000), 31–32
37.	A. Gladkov , M. Guedda, “Diffusion-absorption equation with general data”, Nonlinear Boundary Value Problems, 2000, no. 10, 83–86

1997
38.	A.L. Gladkov, “O statsionarnykh resheniyakh nekotorykh kvazilineinykh parabolicheskikh uravnenii”, Vesnik Vitsebskaga dzyarzhaўnaga universiteta, 1997, no. 1, 56–61

1996
39.	A. L. Gladkov, “Unique solvability of the Cauchy problem for certain quasilinear pseudoparabolic equations”, Math. Notes, 60:3 (1996), 264–268
40.	A. L. Gladkov, “Unbounded solutions of the nonlinear heat-conduction equation with strong convection at infinity”, Comput. Math. Math. Phys., 36:10 (1996), 1381–1391
41.	A.L. Gladkov, “Zadacha Koshi dlya uravneniya filtratsii s silnoi konvektsiei na beskonechnosti”, Doklady Natsionalnoi akademii nauk Belarusi, 40:6 (1996), 27–30
42.	A.L. Gladkov, “Ob odnom nelineinom uravnenii teploprovodnosti so stepennymi nelineinostyami”, Vesnik Vitsebskaga dzyarzhaўnaga universiteta, 1996, no. 2, 95–99

1995
43.	A. L. Gladkov, “The Cauchy problem in classes of increasing functions for the equation of filtration with convection”, Sb. Math., 186:6 (1995), 803–825
44.	A. Gladkov, “Cauchy problem for equations of nonlinear heat conductibility with convection in classes of growing functions”, Elliptic and parabolic problems. Proceedings of the 2nd European conference, Pont-à-Mousson, June 1994, eds. Bandle, C. (ed.) et al., Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 325, 1995, 106–119
45.	A.L. Gladkov, “Zadacha Koshi dlya uravneniya filtratsii s konvektivnym perenosom”, Doklady Natsionalnoi akademii nauk Belarusi, 39:3 (1995), 27–30

1993
46.	A. L. Gladkov, “The Dirichlet problem for some quasilinear degenerate elliptic equations in unbounded domains”, Differ. Equ., 29:2 (1993), 217–223
47.	A. L. Gladkov, “The Cauchy problem for certain degenerate quasilinear parabolic equations with absorption”, Siberian Math. J., 34:1 (1993), 37–54

1992
48.	A. L. Gladkov, “Behavior of solutions of semilinear parabolic equations as $x\to\infty$”, Math. Notes, 51:2 (1992), 124–128

1991
49.	A. L. Gladkov, “On the solvability of the Cauchy problem with an initial function that arbitrarily increases at infinity for some degenerate quasilinear parabolic equations”, Differ. Equ., 27:2 (1991), 170–176

1989
50.	A. L. Gladkov, “The Cauchy problem for some quasilinear parabolic equations that are not solvable with respect to the time derivative”, Differ. Equ., 25:9 (1989), 1104–1109
51.	A. L. Gladkov, “Existence and uniqueness of the solution of the Dirichlet problem for some quasilinear elliptic equations in unbounded domains”, Soviet Math. (Iz. VUZ), 33:11 (1989), 18–27

1988
52.	A. L. Gladkov, “The Cauchy problem in classes of increasing functions for some nonlinear pseudoparabolic equations”, Differ. Equ., 24:2 (1988), 211–219

1984
53.	A. Gladkov, “On the Cauchy problem in classes of functions with arbitrary growth for some second order nonlinear degenerate parabolic equations”, Differential equations and their applications, Collect. Artic., Moskva, 1984, 70–75

1982
54.	A. Gladkov, “Source-type solutions for some quasilinear parabolic equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5, 36–39

Presentations in Math-Net.Ru

Initial boundary value problem for a nonlinear parabolic equation with memory under nonlocal boundary condition
A. Gladkov
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 17, 2023 17:45

Blow-up of solutions of nonlocal parabolic equation under nonlocal boundary condition
A. Gladkov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 5, 2023 15:40

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