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Articles (21) More info
| 1 |
Antontsev S.N.
, Kuznetsov I.V.
, Sazhenkov S.A.
, Shmarev S.
Strong solutions of a semilinear impulsive pseudoparabolic equation with an infinitesimal initial layer Journal of Mathematical Analysis and Applications. 2024. V.530. N1. 127751 :1-22. DOI: 10.1016/j.jmaa.2023.127751 WOS Scopus РИНЦ OpenAlex |
| 2 |
Antontsev S.
, Kuznetsov I.
, Sazhenkov S.
, Shmarev S.
Solutions of impulsive p(x,t)-parabolic equations with an infinitesimal initial layer Nonlinear Analysis: Real World Applications. 2024. V.80. 104162 :1-23. DOI: 10.1016/j.nonrwa.2024.104162 WOS Scopus РИНЦ OpenAlex |
| 3 |
Kuznetsov I.
, Sazhenkov S.
Weak solutions of impulsive pseudoparabolic equations with an infinitesimal transition layer Nonlinear Analysis. 2023. V.228. 113190 :1-20. DOI: 10.1016/j.na.2022.113190 WOS Scopus РИНЦ OpenAlex |
| 4 |
Antontsev S.
, Kuznetsov I.
, Shmarev S.
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on (x,t) and negative initial energy Nonlinear Analysis: Real World Applications. 2023. V.71. 103837 :1-15. DOI: 10.1016/j.nonrwa.2023.103837 WOS Scopus РИНЦ OpenAlex |
| 5 |
Antontsev S.
, Kuznetsov I.
, Shmarev S.
Global existence and regularity for a pseudo-parabolic equation with p(x,t)-Laplacian Journal of Mathematical Analysis and Applications. 2023. V.526. N1. 127202 :1-33. DOI: 10.1016/j.jmaa.2023.127202 WOS Scopus РИНЦ OpenAlex |
| 6 |
Antontsev S.
, Kuznetsov I.
, Sazhenkov S.
ONE-DIMENSIONAL IMPULSIVE PSEUDOPARABOLIC EQUATION WITH CONVECTION AND ABSORPTION Interfacial Phenomena and Heat Transfer. 2023. V.11. N4. 17-33 :1-1. DOI: 10.1615/interfacphenomheattransfer.2023049787 Scopus РИНЦ OpenAlex |
| 7 |
Kuznetsov I.
, Sazhenkov S.
Strong solutions of impulsive pseudoparabolic equations Nonlinear Analysis: Real World Applications. 2022. V.65. 103509 :1-19. DOI: 10.1016/j.nonrwa.2022.103509 WOS Scopus РИНЦ OpenAlex |
| 8 |
Kuznetsov I.
, Sazhenkov S.
The impulsive heat equation with the Volterra transition layer Journal of Elliptic and Parabolic Equations. 2022. V.8. N2. P.959-993. DOI: 10.1007/s41808-022-00182-9 WOS Scopus РИНЦ OpenAlex |
| 9 |
Kuznetsov I.
, Sazhenkov S.
Ultra-Parabolic Kolmogorov-Type Equation with Multiple Impulsive Sources In compilation Current Trends in Analysis, its Applications and Computation. – Birkhäuser, Springer Nature Switzerland AG., 2022. – C.565-574. – ISBN 978-3-030-87501-5. DOI: 10.1007/978-3-030-87502-2_57 Scopus РИНЦ OpenAlex |
| 10 |
Kuznetsov I.
, Sazhenkov S.
Non-instantaneous single- and multi-impulsive advection-reaction-diffusion equations In compilation Topical Issues of Thermophysics, Energetics and Hydrogasdynamics in the Arctic Conditions. – American Institute of Physics – AIP., 2022. – ISBN 9780735443990. DOI: 10.1063/5.0106234 Scopus РИНЦ OpenAlex |
| 11 |
Kuznetsov I.V.
, Sazhenkov S.A.
The one-dimensional impulsive Barenblatt--Zheltov--Kochina equation with a transition layer Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2022. V.19. N2. P.724-740. DOI: 10.33048/semi.2022.19.060 WOS Scopus РИНЦ |
| 12 |
Antontsev S.
, Kuznetsov I.
, Shmarev S.
On a class of nonlocal evolution equations with the p[∇u]-Laplace operator Journal of Mathematical Analysis and Applications. 2021. V.501. N2. P.125221. DOI: 10.1016/j.jmaa.2021.125221 WOS Scopus РИНЦ OpenAlex |
| 13 |
Kuznetsov I.
, Sazhenkov S.
Singular limits of the quasi-linear Kolmogorov-type equation with a source term Journal of Hyperbolic Differential Equations. 2021. V.18. N04. P.789-856. DOI: 10.1142/s0219891621500247 WOS Scopus РИНЦ OpenAlex |
| 14 |
Kuznetsov I.V.
, Sazhenkov S.A.
Entropy solutions of an ultra-parabolic equation with the one-sided Dirac delta function as the minor term Journal of Physics: Conference Series. 2020. V.1666. 012025 :1-6. DOI: 10.1088/1742-6596/1666/1/012025 Scopus РИНЦ OpenAlex |
| 15 |
Antontsev S.N.
, Kuznetsov I.V.
, Sazhenkov S.A.
A shock layer arising as the source term collapses in the p(x)-Laplacian equation Problemy Analiza. 2020. V.27. N3. P.31-53. DOI: 10.15393/j3.art.2020.8990 WOS Scopus РИНЦ OpenAlex |
| 16 |
Kuznetsov I.V.
Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations Mathematical Modelling of Natural Phenomena. 2018. V.13. N20. P.1-7. DOI: 10.1051/mmnp/2018022 WOS Scopus РИНЦ OpenAlex |
| 17 |
Antontsev S.
, Kuznetsov I.
, Shmarev S.
Global higher regularity of solutions to singular p(x,t)-parabolic equations Journal of Mathematical Analysis and Applications. 2018. V.466. N1. P.238-263. DOI: 10.1016/j.jmaa.2018.05.075 WOS Scopus РИНЦ OpenAlex |
| 18 |
Kuznetsov I.V.
, Sazhenkov S.A.
Genuinely nonlinear impulsive ultra-parabolic equations and convective heat transfer on a shock wave front IOP Conference Series: Earth and Environmental Science. 2018. V.193. 012037 :1-7. DOI: 10.1088/1755-1315/193/1/012037 Scopus РИНЦ OpenAlex |
| 19 |
Kuznetsov I.V.
, Sazhenkov S.A.
Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2018. V.15. P.1158–1173. DOI: 10.17377/semi.2018.15.094 WOS Scopus РИНЦ |
| 20 |
Kuznetsov I.V.
GENUINELY NONLINEAR FORWARD-BACKWARD ULTRA-PARABOLIC EQUATIONS Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2017. V.14. P.710-731. DOI: 10.17377/semi.2017.14.061 WOS Scopus РИНЦ |
| 21 |
Antontsev S.N.
, Kuznetsov I.V.
EXISTENCE OF ENTROPY MEASURE-VALUED SOLUTIONS FOR FORWARD-BACKWARD P-PARABOLIC EQUATIONS Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2017. V.14. P.774-793. DOI: 10.17377/semi.2017.14.066 WOS Scopus РИНЦ |
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