1. 2024
  2. Strong solutions of a semilinear impulsive pseudoparabolic equation with an infinitesimal initial layer

    Antontsev, S., Kuznetsov, I., Sazhenkov, S. & Shmarev, S., 1 Feb 2024, In: Journal of Mathematical Analysis and Applications. 530, 1, 127751.

    Research output: Contribution to journalArticlepeer-review

  3. 2023
  4. Global existence and regularity for a pseudo-parabolic equation with p(x,t)-Laplacian

    Antontsev, S., Kuznetsov, I. & Shmarev, S., 1 Oct 2023, In: Journal of Mathematical Analysis and Applications. 526, 1, 33 p., 127202.

    Research output: Contribution to journalArticlepeer-review

  5. Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on (x,t) and negative initial energy

    Antontsev, S., Kuznetsov, I. & Shmarev, S., Jun 2023, In: Nonlinear Analysis: Real World Applications. 71, 103837.

    Research output: Contribution to journalArticlepeer-review

  6. 2022
  7. Strong solutions of impulsive pseudoparabolic equations

    Kuznetsov, I. & Sazhenkov, S., Jun 2022, In: Nonlinear Analysis: Real World Applications. 65, 103509.

    Research output: Contribution to journalArticlepeer-review

  8. Ultra-Parabolic Kolmogorov-Type Equation with Multiple Impulsive Sources

    Kuznetsov, I. & Sazhenkov, S., 2022, Current Trends in Analysis, its Applications and Computation. Cerejeiras, P., Reissig, M., Sabadini, I. & Toft, J. (eds.). 1 ed. Springer Science and Business Media Deutschland GmbH, p. 565-574 10 p. 57. (Trends in Mathematics).

    Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

  9. 2021
  10. Singular limits of the quasi-linear Kolmogorov-type equation with a source term

    Kuznetsov, I. & Sazhenkov, S., 1 Dec 2021, In: Journal of Hyperbolic Differential Equations. 18, 4, p. 789-856 68 p.

    Research output: Contribution to journalArticlepeer-review

  11. On a class of nonlocal evolution equations with the p[∇u]-Laplace operator

    Antontsev, S., Kuznetsov, I. & Shmarev, S., 15 Sept 2021, In: Journal of Mathematical Analysis and Applications. 501, 2, 125221.

    Research output: Contribution to journalArticlepeer-review

  12. 2020
  13. Entropy solutions of an ultra-parabolic equation with the one-sided Dirac delta function as the minor term

    Kuznetsov, I. V. & Sazhenkov, S. A., 20 Nov 2020, In: Journal of Physics: Conference Series. 1666, 1, 012025.

    Research output: Contribution to journalConference articlepeer-review

  14. A shock layer arising as the source term collapses in the p(x)-Laplacian equation

    Antontsev, S. N., Kuznetsov, I. & Sazhenkov, S. A., 2020, In: Problemy Analiza. 9(27), 3, p. 31-53 23 p.

    Research output: Contribution to journalArticlepeer-review

  15. 2018
  16. Genuinely nonlinear impulsive ultra-parabolic equations and convective heat transfer on a shock wave front

    Kuznetsov, I. V. & Sazhenkov, S. A., 30 Oct 2018, In: IOP Conference Series: Earth and Environmental Science. 193, 1, 7 p., 012037.

    Research output: Contribution to journalConference articlepeer-review

  17. Global higher regularity of solutions to singular p(x,t)-parabolic equations

    Antontsev, S., Kuznetsov, I. & Shmarev, S., 1 Oct 2018, In: Journal of Mathematical Analysis and Applications. 466, 1, p. 238-263 26 p.

    Research output: Contribution to journalArticlepeer-review

  18. Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations

    Kuznetsov, I. V. & Sazhenkov, S. A., 1 Jan 2018, In: Сибирские электронные математические известия. 15, p. 1158-1173 16 p.

    Research output: Contribution to journalArticlepeer-review

  19. Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations

    Kuznetsov, I., 1 Jan 2018, In: Mathematical Modelling of Natural Phenomena. 13, 2, 7 p., 20.

    Research output: Contribution to journalArticlepeer-review

  20. 2017
  21. Quasi-solutions of genuinely nonlinear forward-backward ultra-parabolic equations

    Kuznetsov, I. V. & Sazhenkov, S. A., 22 Oct 2017, In: Journal of Physics: Conference Series. 894, 1, 7 p., 012046.

    Research output: Contribution to journalArticlepeer-review

  22. Existence of entropy measure-valued solutions for forward-backward p-parabolic equations

    Antontsev, S. N. & Kuznetsov, I. V., 1 Jan 2017, In: Сибирские электронные математические известия. 14, p. 774-793 20 p.

    Research output: Contribution to journalArticlepeer-review

  23. Genuinely nonlinear forward-backward ultra-parabolic equations

    Kuznetsov, I. V., 1 Jan 2017, In: Сибирские электронные математические известия. 14, p. 710-731 22 p.

    Research output: Contribution to journalArticlepeer-review

ID: 3455877