The basic data about my NCN grant HARMONIA

    title: Nonlocal problems of interface evolution
    team: Yoshikazu Giga, Mi-Ho Giga, Adam Kubica, Tokinaga Namba, Piotr Rybka, Katarzyna Ryszewska, Masahiro Yamamoto, Michał Łasica
    conference: Nonlocal diffusion problems, nonlocal interface evolution, 1.--3. October 2020. Organizers: Adam Kubica, Michał Łasica, Piotr Rybka, Katarzyna Ryszewska.
    publication carried out during the project:
    1. Adam Kubica, Katarzyna Ryszewska, Decay of solutions to parabolic-type problem with distributed order Caputo derivative Journal of Mathematical Analysis and Applications, 465 (2018) 75--99 doi: 10.1016/j.jmaa.2018.04.067
    2. Adam Kubica, Masahiro Yamamoto, Initial-Boundary Value Problems For Fractional Diffusion Equations With Time-Dependent Coefficients, Fractional Calculus and Applied Analysis, 21 (2018) 276--311 doi: 10.1515/fca-2018-0018
    3. Adam Kubica, Katarzyna Ryszewska, Fractional diffusion equation with distributed-order Caputo derivative, J. Integral Equations Appl. 31 (2019), no. 2, 195-243.
    4. Piotr Rybka, Anna Zatorska-Goldstein, A stationary heat conduction problem in low dimensional sets in \(\mathbb{R}^N\), Calculus of Variations and Partial Differential Equations, 59, Article number: 40 (2020) preprint.
    5. Yoshikazu Giga, Ryota Nakayashiki, Piotr Rybka, Ken Shirakawa, On boundary detachment phenomena for the total variation flow with dynamic boundary conditions, Journal of Differential Equations, 269, (2020), no 12, 10587-10629.
    6. Katarzyna Ryszewska, An analytic semigroup generated by a fractional differential operator, Journal of Mathematical Analysis and Applications, 483 (2020) no 2, 123654, https://doi.org/10.1016/j.jmaa.2019.123654
    7. Tokinaga Namba, Piotr Rybka, On viscosity solutions of space-fractional diffusion equations of Caputo type, SIAM Journal on Mathematical Analysis 52, (2020), no 1, 653-681. preprint
    8. Katarzyna Ryszewska, A space-fractional Stefan problem, Nonlinear Analysis 199, (2020): 112027
    9. Adam Kubica, Katarzyna Ryszewska and Masahiro Yamamoto, Time-fractional differential equations. A theoretical introduction, (2020), SpringerBriefs in Mathematics.
    10. Adam Kubica, Katarzyna Ryszewska, A self-similar solution to time-fractional Stefan problem, Mathematical Methods in the Applied Sciences (2020);1-31, https://doi.org/10.1002/mma.7028
    11. Tokinaga Namba, Piotr Rybka, Vaughan Voller, Some comments on using fractional derivative operators in modeling non-local diffusion processes, J. Comput. Appl. Math. 381, (2021), 113040
    12. Michał Łasica, Piotr Rybka, Existence of \(W^{1,1}\) solutions to a class of variational problems with linear growth on convex domains, Indiana University Math. Journal, 70, (2021), 2427-2450; preprint
    13. Piotr Rybka, Ahmad Sabra, The planar Least Gradient problem in convex domains: the discontinuous case, Nonlinear Differ. Equ. Appl. 28, (2021), 15, preprint
    14. Tomasz Lewiński, Piotr Rybka, Anna Zatorska-Goldstein, The Free Material Design problem for stationary heat equation on low dimensional structures , Nonlinearity 36 (2023), 4501-4521 preprint.
    15. Tokinaga Namba, Piotr Rybka, Shoichi Sato, Special Solutions to the Space Fractional Diffusion Problem, Fractional Calculus and Applied Analysis, 25 (2022), 2139-2465
    16. Sabrina Roscani, Katarzyna Ryszewska and Lucas Venturato, A one-phase space -- fractional Stefan problem with no liquid initial domain , SIAM J. Math. Anal., 54,(2022), no. 5, 5489-5523. preprint.
    17. Piotr Rybka, Glen Wheeler, Convergence of solutions to a convective Cahn-Hilliard type equation of the sixth order in case of small deposition rates SIAM Journal on Mathematical Analysis, 55 vol. 5, (2023), 4193-5861, preprint.
    18. Yoshikazu Giga, Michał Łasica, Piotr Rybka, The heat equation with the dynamic boundary condition as asingular limit of problems degenerating at the boundary, Asymptotic Analysis, 135 (2023), 463-508, preprint.