Details of the Researcher

PHOTO

Zhanpeisov Erbol
Section
Graduate School of Science
Job title
Degree

  • Doctor (Mathematical Sciences) (The University of Tokyo)

e-Rad No.
70962653

Research History 5

  • 2025/04 - Present
    Tohoku University　Graduate School of Science　Specially Appointed Research Fellow (JSPS Research Fellow-PD)

  • 2022/10 - 2025/03
    Okinawa Institute of Science and Technology Graduate University　Geometric Partial Differential Equations Unit　Postdoctoral Scholar

  • 2022/04 - 2022/09
    Tokyo University of Marine Science and Technology　School of Marine Life Science　Part-time Lecturer

  • 2022/04 - 2022/09
    The University of Tokyo　Graduate School of Mathematical Sciences　Project Researcher

  • 2020/04 - 2022/03
    The University of Tokyo　Graduate School of Mathematical Sciences　JSPS Research Fellow (DC2)

Education 3

  • The University of Tokyo　Graduate School of Mathematical Sciences　Department of Mathematical Sciences

    2019/04 - 2022/03

  • Tohoku University　Graduate School of Science　Department of Mathematics

    2017/04 - 2019/03

  • Tohoku University　Faculty of Science　Department of Mathematics

    2013/04 - 2017/03

Professional Memberships 1

  • Mathematical Society of Japan

    2021/04 - Present

Research Interests 13

  • Higher-order parabolic equation

  • Fujita-type equation

  • Liouville-type theorem

  • Besov–Morrey space

  • Nonlinear parabolic system

  • Time-fractional partial differential equation

  • Fractional diffusion equation

  • Nonlinear partial differential equation

  • Hamilton–Jacobi equation

  • Viscosity solution theory

  • Blow-up problem

  • Diffusion equation

  • Nonlinear heat equation

Research Areas 1

  • Natural sciences / Mathematical analysis / Theory of partial differential equations

Awards 1

  1. Kawai Award for Excellence in Mathematics

    2015/03　Tohoku University

Papers 5

  1. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy Peer-reviewed

    Qing Liu, Erbol Zhanpeisov

    Journal of Differential Equations　427　510-537　2025/05

    Publisher: Elsevier BV

    DOI： 10.1016/j.jde.2025.01.091 　

    ISSN： 0022-0396

  2. Existence of solutions for time fractional semilinear parabolic equations in Besov–Morrey spaces Peer-reviewed

    Yusuke Oka, Erbol Zhanpeisov

    Journal of Evolution Equations　24　96　2024/11

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1007/s00028-024-01025-x 　

    ISSN： 1424-3199

    eISSN： 1424-3202

    More details Close

    Abstract We consider the Cauchy problem for a time fractional semilinear heat equation "Equation missing"where $$0<\alpha <1,\, \gamma >1,\, N\in \mathbb {Z}_{\geqslant 1}$$ and $$\mu (x)$$ belongs to inhomogeneous/homogeneous Besov–Morrey spaces. The fractional derivative $$^{C}\partial ^{\alpha }_{t}$$ is interpreted in the Caputo sense. We present sufficient conditions for the existence of local/global-in-time solutions to problem (P). Our results cover all existing results in the literature and can be applied to a large class of initial data.

  3. Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces Peer-reviewed

    Erbol Zhanpeisov

    Discrete and Continuous Dynamical Systems　43　(11)　3969-3986　2023/11

    Publisher: American Institute of Mathematical Sciences (AIMS)

    DOI： 10.3934/dcds.2023074 　

    ISSN： 1078-0947

    eISSN： 1553-5231

  4. Blow-up rate of sign-changing solutions to nonlinear parabolic systems in domains Peer-reviewed

    Erbol Zhanpeisov

    Nonlinear Analysis　222　112975　2022/09

    Publisher: Elsevier BV

    DOI： 10.1016/j.na.2022.112975 　

    ISSN： 0362-546X

  5. Blow-up rate of sign-changing solutions to nonlinear parabolic systems Peer-reviewed

    Erbol Zhanpeisov

    Advances in Differential Equations　26　(11/12)　563-584　2021/11

    Publisher: Khayyam Publishing, Inc

    DOI： 10.57262/ade026-1112-563 　

    ISSN： 1079-9389

Misc. 3

  1. Infinite time blow-up and slow decay for the six dimensional energy-critical heat equation with self-similarly decaying initial data

    Kotaro Hisa, Jin Takahashi, Erbol Zhanpeisov

    arXiv:2604.20396　2026/04

  2. Blow-up rate for the subcritical semilinear heat equation in non-convex domains

    Hideyuki Miura, Jin Takahashi, Erbol Zhanpeisov

    arXiv:2510.17229　2025/10

  3. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy

    Erbol Zhanpeisov

    Proceedings of the 45th Young Researchers Seminar on Evolution Equations　77-83　2025/02

Presentations 41

  1. Blow-up rate for the subcritical semilinear heat equation in non- convex domains Invited

    Erbol Zhanpeisov

    One-Day Workshop on semilinear parabolic equations　2026/08/04

  2. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    The 15th AIMS Conference on Dynamical Systems, Differential Equations and Applications　2026/07/07

  3. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    Seminar of Differential Equations, The University of Osaka　2026/06/26

  4. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    One-Day Workshop on Nonlinear PDEs at Ryukoku　2026/06/11

  5. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    The 210th Kagurazaka Analysis Seminar　2026/05/23

  6. Blow-up rate for the subcritical semilinear heat equation in non-convex domains

    Erbol Zhanpeisov

    Dynamical Aspects of Pattern Formation　2026/05/19

  7. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    Kyoto University NLPDE Seminar　2026/05/15

  8. Blow-up rate for the subcritical semilinear heat equation in non-convex domains

    Erbol Zhanpeisov

    MSJ Spring Meeting 2026　2026/03/24

  9. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    OIST Geometric PDE and Applied Analysis Seminar　2026/03/17

  10. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    The 27th Northeastern Symposium on Mathematical Analysis　2026/02/17

  11. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    Tuesday Seminar of Analysis, The University of Tokyo　2026/01/13

  12. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    Kyushu Functional Equation Seminar　2025/12/12

  13. Blow-up rate for the subcritical semilinear heat equation in non-convex domains Invited

    Erbol Zhanpeisov

    Northern Tohoku Workshop on Partial Differential Equations 2025　2025/11/15

  14. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy International-presentation Invited

    Erbol Zhanpeisov

    15th International Congress of ISAAC (ISAAC 2025)　2025/07/25

    More details Close

    Special Session: Advances in Nonlinear Analysis (Session 1)

  15. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy Invited

    Erbol Zhanpeisov

    The 1st Workshop on Viscosity Solutions, Optimal Control, and Mathematical Finance　2025/03/16

  16. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy Invited

    Erbol Zhanpeisov

    Applied Analysis Seminar, Muroran Institute of Technology　2025/02/14

  17. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy Invited

    Erbol Zhanpeisov

    China-Japan Workshop on Nonlinear Elliptic and Parabolic Equations　2024/10/10

  18. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy

    Erbol Zhanpeisov

    MSJ Autumn Meeting 2024　2024/09/04

  19. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy

    Erbol Zhanpeisov

    The 45th Young Researchers Seminar on Evolution Equations　2024/08/27

  20. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy Invited

    Erbol Zhanpeisov

    Mitake-Tran's PDE Reading Seminar　2024/08/08

  21. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy

    Erbol Zhanpeisov

    Swansea Summer School in Nonlinear PDEs　2024/07/01

  22. Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy Invited

    Erbol Zhanpeisov

    Applied Mathematical Analysis Seminar, Tohoku University　2024/04/25

  23. Existence of solutions for fractional semilinear parabolic equations in Besov-Morrey spaces Invited

    Erbol Zhanpeisov

    Workshop on Elliptic & Parabolic PDEs 2023　2023/11/17

  24. Existence of solutions for fractional semilinear parabolic equations in Besov-Morrey spaces Invited

    Erbol Zhanpeisov

    OIST Conference Geometric PDEs and Applications　2023/01/18

  25. Existence of solutions for fractional semilinear parabolic equations in Besov-Morrey spaces Invited

    Erbol Zhanpeisov

    The 260th Hiroshima Mathematical Analysis Seminar　2022/07/22

  26. Existence of solutions for fractional semilinear parabolic equations in Besov-Morrey spaces Invited

    Erbol Zhanpeisov

    Hamamatsu Seminar on Partial Differential Equations　2022/04/22

  27. Existence of solutions to nonlinear parabolic equations in Besov-Morrey spaces Invited

    Erbol Zhanpeisov

    The 15th Seminar on Partial Differential Equations and Mathematical Analysis for Young Researchers　2022/02/18

  28. Existence of solutions to nonlinear parabolic equations in Besov-Morrey spaces Invited

    Erbol Zhanpeisov

    Applied Analysis Seminar, Kumamoto University　2022/01/22

  29. Existence of solutions for fractional semi- linear parabolic equations in Besov-Morrey spaces

    Erbol Zhanpeisov

    Applied Analysis Seminar, The University of Tokyo　2021/12/16

  30. Blow-up rate of sign-changing solutions to nonlinear parabolic systems Invited

    Erbol Zhanpeisov

    RIMS Workshop (Open) "Expanding Horizons of Evolution Equations: From Theoretical Foundations to Practical Applications"　2021/10/06

  31. Blow-up rate of sign-changing solutions to nonlinear parabolic systems Invited

    Erbol Zhanpeisov

    Tohoku University OS Special Seminar　2021/08/26

  32. Blow-up rate of sign-changing solutions to nonlinear parabolic systems Invited

    Erbol Zhanpeisov

    The 19th Nonlinear Evolution Equations Seminar @KUE　2021/05/18

  33. Blow-up rate of sign-changing solutions to nonlinear parabolic systems

    Erbol Zhanpeisov

    MSJ Spring Meeting 2021　2021/03/16

  34. Dynamical Boundary Conditions for the Laplace Equation

    Erbol Zhanpeisov

    Study Group for Solving Industrial Problems　2019/12/20

  35. Blow-up rate of sign-changing solutions to nonlinear parabolic systems Invited

    Erbol Zhanpeisov

    Summer School on Applied Inverse Problems and Related Topics　2019/08/09

  36. Blow-up rate of sign-changing solutions to nonlinear parabolic systems Invited

    Erbol Zhanpeisov

    WINGS-FMSP, FMSP Intensive Lecture for Graduate Students　2019/03/14

  37. An Alternative Proof of Radiation Dose Attenuation Using Partial Differential Equations

    Erbol Zhanpeisov

    Environmental Mathematics Study Group　2019/03/04

  38. Blow-up rate of sign-changing solutions to nonlinear parabolic systems

    Erbol Zhanpeisov

    The 20th Northeastern Symposium on Mathematical Analysis　2019/02/18

  39. Blow-up rate of sign-changing solutions to nonlinear parabolic systems

    Erbol Zhanpeisov

    Applied Mathematics Seminar, Tohoku University　2019/01/07

  40. Blow-up rate of sign-changing solutions to nonlinear parabolic systems Invited

    Erbol Zhanpeisov

    Kusatsu seminar 2018 Summer School of Applied Analysis　2018/08/02

  41. Blow-up rate of sign-changing solutions to nonlinear parabolic systems

    Erbol Zhanpeisov

    Yamagata Evolution Equations Discussion Meeting　2018/08

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Research Projects 4

  1. Analysis of well-posedness and blow-up behavior for nonlinear higher-order parabolic equations

    ZHANPEISOV ERBOL

    Offer Organization: Japan Society for the Promotion of Science (JSPS)

    System: Grants-in-Aid for Scientific Research (KAKENHI)

    Category: JSPS Fellows

    Institution: Tohoku University

    2025/04 - 2028/03

  2. Analysis of blow-up phenomena for nonlinear parabolic equations

    ZHANPEISOV ERBOL

    Offer Organization: Japan Society for the Promotion of Science (JSPS)

    System: Grants-in-Aid for Scientific Research (KAKENHI)

    Category: Early-Career Scientists

    Institution: Okinawa Institute of Science and Technology Graduate University (OIST)

    2023/04 - 2028/03

  3. New trends in parabolic equations with nonlocal structures

    Tatsuki Kawakami, Yohei Fujishima, Jin Takahashi, Asato Mukai, ZHANPEISOV ERBOL

    Offer Organization: Japan Society for the Promotion of Science (JSPS)

    System: Grants-in-Aid for Scientific Research (KAKENHI)

    Category: Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))

    Institution: Ryukoku University

    2022/10 - 2027/03

  4. Blow-up and asymptotic behavior of nonlinear parabolic systems

    ZHANPEISOV Erbol

    Offer Organization: Japan Society for the Promotion of Science (JSPS)

    System: Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows (KAKENHI)

    Category: JSPS Fellows

    Institution: The University of Tokyo

    2020/04 - 2022/03

Teaching Experience 2

  1. Basic Calculus II　Tokyo University of Marine Science and Technology

  2. Basic Calculus I　Tokyo University of Marine Science and Technology

Social Activities 2

  1. OIST × Shanghai Ganquan Foreign Languages Middle School Student Exchange Program

    2025/01/23 -

  2. The 156th Science Café: Can Mathematics Become a Doctor? – Mathematical Approaches to Cancer Treatments

    2018/09/21 -

Academic Activities 4

  1. Organizer, Tohoku University OS Special Seminar

    2025/04 - Present

    Activity type: Academic society, research group, etc.

  2. Organizer, Applied Mathematical Analysis Seminar

    2025/04 - Present

    Activity type: Academic society, research group, etc.

  3. Organizer, Northern Tohoku Workshop on Partial Differential Equations 2025

    2025/11/15 - 2025/11/16

    Activity type: Academic society, research group, etc.

  4. Organizer, WINGS-FMSP and FMSP Intensive Lecture for Graduate Students

    2021/03/04 - 2021/03/05

    Activity type: Academic society, research group, etc.