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:
-
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
-
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
-
Adam Kubica, Katarzyna Ryszewska,
Fractional diffusion equation with distributed-order Caputo derivative,
J. Integral Equations Appl. 31 (2019), no. 2, 195-243.
- 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.
-
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.
-
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
-
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
-
Katarzyna Ryszewska,
A space-fractional Stefan problem, Nonlinear Analysis 199, (2020): 112027
- Adam Kubica, Katarzyna Ryszewska and Masahiro Yamamoto,
Time-fractional differential equations. A theoretical introduction,
(2020), SpringerBriefs in Mathematics.
- 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
-
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
-
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
- Piotr Rybka, Ahmad Sabra,
The planar Least Gradient problem in convex domains: the discontinuous case,
Nonlinear Differ. Equ. Appl. 28, (2021), 15, preprint
- 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.
- Tokinaga Namba, Piotr Rybka, Shoichi Sato,
Special Solutions to the Space Fractional Diffusion Problem,
Fractional Calculus and Applied Analysis, 25 (2022), 2139-2465
- 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.
-
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.
-
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.