List of Publications

To appear

J46. Lyapunov stability of non-isolated equilibria for strongly irreversible Allen-Cahn equations,
to appear in Proceedings of the Royal Society of Edinburgh Section A: Mathematics.
(with M. Efendiyev)
publisher site (??? 2025)

2024

J45. On a class of doubly nonlinear evolution equations in Musielak-Orlicz spaces,
Mathematische Nachrichten 297 (2024), Issue 7, 2686--2729.
(with G. Schimperna)
preprint in arXiv publisher site (Jul 2024)
J44. Generalized gradient flows for time-dependent energies and applications to PDEs involving variable exponents,
Nonlinear Differential Equations and Applications NoDEA 31 (2024), article number 73.
(with N. Tanaka)
publisher site (Jun 2024)
J43. Steady states with jump discontinuity in a receptor-based model with hysteresis in higher-dimensional domains,
SIAM Journal on Mathematical Analysis 56 (2024), no.2, 1996--2033.
(with I. Takagi, C. Zhang)
publisher site (Mar 2024)
BC1. Fractional Dissipative PDEs,
In: Fractional Dispersive Models and Applications - Recent Developments and Future Perspectives - (Ed. P.G. Kevrekidis, J. Cuevas-Maraver), Nonlinear Systems and Complexity (NSCH, volume 37), Springer Cham, to appear.
(with F. Achleitner, C. Kuehn, J.M. Melenk, J.D.M. Rademacher, C. Soresina, J. Yang)
preprint in arXiv publisher site (Apr 2024)

2023

J42. On some doubly-nonlinear parabolic equations posed in R^d,
Discrete and Continuous Dynamical Systems - Series S 16 (2023), no.12, 3661--3676.
preprint version publisher site (Dec 2023)
J41. Evolution equations with complete irreversibility and energy conservation,
Journal of Mathematical Analysis and Applications 527 (2023), 127348 (31pp.).
(with K. Sato)
preprint in arXiv publisher site (Nov 2023)
J40. Space-time homogenization for nonlinear diffusion,
Journal of Differential Equations 358 (2023), 386--456.
(with T. Oka)
preprint in arXiv publisher site (open access) (Jun 2023)
J39. General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data,
Journal of Functional Analysis 284 (2023) 109891 (86pp.).
(with K. Ishige and R. Sato)
preprint in arXiv publisher site (open access) (May 2023)
J38. Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods,
Archive for Rational Mechanics and Analysis 247 (2023), Article number: 23 (38pp.).
preprint in arXiv publisher site (open access) (Apr 2023)

2022

J37. Space-time homogenization problems for porous medium equations with nonnegative initial data,
Advances in Mathematical Sciences and Applications, Gakkotosho, 31 (2022), no.1, 1-19.
(with T. Oka)
preprint in arXiv publisher site (Nov 2022)
J36. Traveling wave dynamics for Allen-Cahn equations with strong irreversibility,
Transactions of the American Mathematical Society, American Mathematical Society, 275 (2022), no.5, 3173-3238.
(with C. Kuehn and K.-I. Nakamura)
preprint in arXiv publisher site (May 2022)
J35. Local well-posedness for Fr???mond's model of complete damage in elastic solids,
European Journal of Applied Mathematics, Cambridge University Press, 33 (2022), no. 2, 309-327.
(with G. Schimperna)
preprint in arXiv publisher site (Apr. 2022)

2020

J34. The Cauchy problem for the Finsler heat equation,
Advances in Calculus of Variations, De Gruyter, 13 (2020), no. 3, 257-278.
(with K. Ishige and R. Sato)
preprint in arXiv publisher site (Jul. 2020)

2019

J33. Fractional flows driven by subdifferentials in Hilbert spaces,
Israel Journal of Mathematics, Springer, 234 (2019), no.2, 809-862.
publisher site (Oct. 2019)
J32. Allen-Cahn equation with strong irreversibility,
European Journal of Applied Mathematics, Cambridge University Press, 30 (2019), no.4, 707-755.
(with M. Efendiev)
preprint in arXiv publisher site (Aug. 2019)
J31. Convergence of solutions for the fractional Cahn-Hilliard system,
Journal of Functional Analysis, Elsevier, 276 (2019), no.9, 2663-2715.
(with G. Schimperna and A. Segatti)
preprint in arXiv publisher site (May 2019)
J30. Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint,
Nonlinear Differential Equations and Applications (NoDEA), Springer, 26 (2019), no.2, 26:10.
(with S. Melchionna)
preprint in arXiv publisher site (Apr. 2019)
J29. Unidirectional evolution equations of diffusion type,
Journal of Differential Equations, Elsevier, 266 (2019) no.1, 1-41.
(with M. Kimura)
preprint in arXiv publisher site (Jan. 2019)

2018

J28. Quantitative estimates on localized finite differences for the fractional Poisson problem, and applications to regularity and spectral stability,
Communications in Mathematical Sciences, International Press of Boston, 16 (2018), no.4, 913-961.
(with G. Schimperna, A. Segatti and L. Spinolo)
preprint in arXiv publisher site (Oct. 2018)
J27. Elliptic-regularization of nonpotential perturbations of doubly-nonlinear flows of nonconvex energies: A variational approach,
Journal of Convex Analysis, Heldermann Verlag, 25 (2018), no.3, 861-898.
(with S. Melchionna)
preprint in arXiv publisher site (2018)
J26. Weighted energy-dissipation approach to doubly-nonlinear problems on the half line,
Journal of Evolution Equations, Springer, 18 (2018), no.1, 49-74.
(with S. Melchionna and U. Stefanelli)
pre-final version publisher site (Mar. 2018) Correction (Jun. 2021)

2017

P15. Nondecreasing solutions to doubly nonlinear equations,
``Solvability, regularity, and optimal control of boundary value problems for PDEs'' Springer INdAM Ser., vol.22, Springer, Cham, 2017, pp.31-53.
(with U. Stefanelli)

2016

J25. Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations,
Journal of Differential Equations, Elsevier, 261 (2016), no.6, 2935-2985.
(with G. Schimperna and A. Segatti)
preprint in arXiv publisher site (Sep. 2016)
J24. Stability of non-isolated asymptotic profiles for fast diffusion,
Communications in Mathematical Physics, Springer, 345 (2016), no.1, 077-100.
preprint in arXiv publisher site (July 2016)
J23. A variational principle for gradient flows of nonconvex energies,
Journal of Convex Analysis, Heldermann Verlag, 23 (2016), no.1, 053-075.
(with U. Stefanelli)
pre-final version publisher site (Feb. 2016)

2015

J22. Stability of stationary solutions for semilinear heat equations with concave nonlinearity,
Communications in Contemporary Mathematics, World Scientific, 17 (2015), no.6, 1550001(29 pages).
(with R. Kajikiya)
pre-final version publisher site (Dec. 2015)

2014

J21. Symmetry and stability of asymptotic profiles for fast diffusion equations in annuli,
Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, Elsevier, 31 (2014), no.6 1155-1173.
(with R. Kajikiya)
pre-final version publisher site (Nov. 2014)
J20. Local solvability of a fully nonlinear parabolic equation,
Kodai Mathematical Journal, Project Euclid, 37 (2014), no.3, 702-727.
pre-final version publisher site (Oct. 2014)
J19. Subdifferential calculus and doubly nonlinear evolution equations in $L^p$-spaces with variable exponents,
Journal of Functional Analysis, Springer, 267 (2014), no.1, 173-213.
(with G. Schimperna)
pre-final version publisher site (July 2014)
J18. Doubly nonlinear evolution equations as convex minimization problems,
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 46 (2014), no.3, 1922-1945.
(with U. Stefanelli)
pre-final version publisher site (June 2014)
J17. Doubly nonlinear parabolic equations involving variable exponents,
Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 7 (2014), no.1, 1-16.
pre-final version publisher site (Feb. 2014)
P14. Stability analysis of asymptotic profiles for fast diffusion equations,
The 4th MSJ-SI ``Nonlinear Dynamics in Partial Differential Equations'' Advanced Studies in Pure Mathematics, Mathematical Society of Japan, vol.64, 2014, pp.183-191.
(with R. Kajikiya)
pre-final version

2013

J16. Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations,
Manuscripta Mathematica, Springer, 141 (2013), no.3-4, 559-587.
(with R. Kajikiya)
pre-final version publisher site (July 2013)
J15. Nonlinear diffusion equations driven by the $p(\cdot)$-Laplacian,
Nonlinear Differential Equations and Applications (NoDEA), Springer, 20 (2013), no.1, 37-64.
(with K. Matsuura)
pre-final version publisher site (Feb. 2013)
P13. A minimization approach to gradient flows of nonconvex energies,
``Nonlinear Analysis and Interdisciplinary Sciences'' GAKUTO International Series, Mathematical Sciences and Applications, Gakko-Tosho, vol.36, 2013, pp.1-16.
pre-final version
P12. Stability and instability of group invariant asymptotic profiles for fast diffusion equations,
``Geometric Properties for Parabolic and Elliptic PDE's'' (R. Magnanini, S. Sakaguchi, A. Alvino Eds.), Springer INdAM Series, Springer, 2013, pp.1-16.
pre-final version publisher site (Feb. 2013)

2011

J14. Periodic solutions for doubly nonlinear evolution equations,
Journal of Differential Equations, Elsevier, 251 (2011), no.7, 1790-1812.
(with U. Stefanelli)
pre-final version publisher site (Oct. 2011)
J13. Weighted energy-dissipation functionals for doubly nonlinear evolution,
Journal of Functional Analysis, Elsevier, 260 (2011), no.9, 2541-2578.
(with U. Stefanelli)
pre-final version publisher site (May 2011)
J12. Doubly nonlinear evolution equations with non-monotone perturbations in reflexive Banach spaces,
Journal of Evolution Equations, Springer, 11 (2011), no.1, 1-41.
pre-final version publisher site (Mar. 2011)

J11. Maximal monotonicity of the sum of two subdifferential operators in Lp-spaces,
Nonlinear Analysis, TMA, Elsevier, 74 (2011), no.5, 1664-1671.
pre-final version publisher site (Mar. 2011)
J10. Global attractors for doubly nonlinear evolution equations with non-monotone perturbations,
Journal of Differential Equations, Elsevier, 250 (2011), no.4, 1850-1875.
pre-final version publisher site (Feb. 2011)

P11. Well-posedness and large-time behaviors of solutions for a parabolic equation involving p(x)-Laplacian,
``The Eighth International Conference on Dynamical Systems and Differential Equations'' a supplement volume of Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences, 2011, pp.22-31.
(with K. Matsuura)
pre-final version

2010

J9. A variational principle for doubly nonlinear evolution,
Applied Mathematics Letters, Elsevier, 23 (2010), no.9, 1120-1124.
(with U. Stefanelli)
pre-final version

P10. On some doubly nonlinear parabolic equations,
GAKUTO International Series, Mathematical Sciences and Applications, Gakko-Tosho, vol.32, 2010, pp.239-254.
pre-final version

2009

J8. Asymptotic behavior of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian,
Mathematische Annalen, Springer, 343 (2009), no.4, 921-953.
(with P. Juutinen and R. Kajikiya)
pre-final version

P9. Energy solutions of the Cauchy-Neumann problem for porous medium equations,
``The Seventh International Conference on Dynamical Systems and Differential Equations'' a supplement volume of Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences, 2009, pp.1-10.
pre-final version

2008

J7. Existence and uniqueness of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian,
Calculus of Variations and Partial Differential Equations, Springer, 31 (2008), no.4, 457-471.
(with K. Suzuki)
pre-final version

P8. Doubly nonlinear evolution equations in reflexive Banach spaces,
``Nonlinear Phenomena with Energy Dissipation'' GAKUTO International Series, Mathematical Sciences and Applications, Gakko-Tosho, vol.29, 2008, pp.19-36.
pre-final version

2007

J6. Local existence of solutions to some degenerate parabolic equation associated with the $p$-Laplacian,
Journal of Differential Equations, Elsevier, 241 (2007), no.2, 359-385.
pre-final version

P7. Doubly nonlinear evolution equations with non-monotone perturbations,
Proc. Appl. Math. Mech., Wiley, 7 (2007), no.1, 2040047-2040048.
pre-final version

P6. On a certain degenerate nonlinear parabolic equation associated with the infinity-Laplacian,
``The Sixth International Conference on Dynamical Systems and Differential Equations'' a supplement volume of Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences, 2007, pp.18-27.
(with K. Suzuki)
pre-final version

2006

J5. Doubly nonlinear evolution equations governed by time-dependent subdifferentials in reflexive Banach space,
Journal of Differential Equations, Elsevier, 231 (2006), no.1, 32-56.
pre-final version

2005

J4. Evolution inclusions governed by the difference of two subdifferentials in reflexive Banach spaces,
Journal of Differential Equations, Elsevier, 209 (2005), no.2, 392-415,
(with M. Otani)
pre-final version publisher site (Feb. 2005)

P5. Doubly nonlinear evolution equations and Bean's critical-state model for type-II superconductivity,
``The Fifth International Conference on Dynamical Systems and Differential Equations'' a supplement volume of Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences, 2005, pp.30-39.
pre-final version

P4. On some macroscopic models for type-II superconductivity,
``The Fourth World Congress of Nonlinear Analysts'' a supplement volume of Nonlinear Analysis, Elsevier, 63 (2005), pp.e1155-e1166,
(with M. Otani)
pre-final version

P3. Subdifferential approach to degenerate parabolic equations,
``Mathematical Approach to Nonlinear Phenomena'' GAKUTO International Series, Mathematical Sciences and Applications, Gakko-Tosho, vol.23, 2005, pp.9-24.
pre-final version

2004

J3. Convergence of functionals and its applications to parabolic equations,
Abstract and Applied Analysis, Hindawi Publishing, 2004 (2004), no.11, 907-933.
pre-final version journal page (free download)

J2. Time-dependent constraint problems arising from macroscopic critical-state models for type-II superconductivity and their approximations,
Advances in Mathematical Sciences and Applications, Gakko-Tosho, 14 (2004), no.2, 683-712,
(with M. Otani)
pre-final version

J1. Evolution inclusions governed by subdifferentials in reflexive Banach spaces,
Journal of Evolution Equations, Springer, 4 (2004), no.4, 519-541,
(with M. Otani)
pre-final vesion publisher site (Dec. 2004)

P2. Asymptotic behavior of solutions for parabolic equations associated with p-Laplacian as p tends to infinity,
``Nonlinear Partial Differential Equations and Their Applications'' GAKUTO International Series, Mathematical Sciences and Applications, Gakko-Tosho, vol.20, 2004, pp.418-429.
pre-final version

2003

P1. Evolution equations and subdifferentials in Banach spaces,
'`The Fourth International Conference on Dynamical Systems and Differential Equations'' a supplement volume of Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences, 2003, pp.11-20,
(with M. Otani)
pre-final version

Last modified: Sat May 06 17:30:47 CEST 2017