@book{CTT100799821,
  author = {Yoshihiro Tonegawa},
  title = {Brakke's mean curvature flow},
  publisher = {Springer},
  year = 2019,
}

@article{CTT100908067,
  author = {Salvatore Stuvard and Yoshihiro Tonegawa},
  title = {On the existence of canonical multi-phase Brakke flows},
  journal = {Advances in Calculus of Variations},
  year = 2024,
}

@article{CTT100908066,
  author = {Ryunosuke Mori and Eita Tomimatsu and Yoshihiro Tonegawa},
  title = {Brakke's formulation of velocity and the second order regularity property},
  journal = {Indiana University Mathematical Journal},
  year = 2023,
}

@article{CTT100842519,
  author = {Salvatore Stuvard and Yoshihiro Tonegawa},
  title = {An existence theorem for Brakke flow with fixed boundary conditions},
  journal = {CALC VAR PARTIAL DIF},
  year = 2021,
}

@article{CTT100840690,
  author = {Lami Kim and Yoshihiro Tonegawa},
  title = {Existence and regularity theorems of one-dimensional Brakke flows},
  journal = {Interfaces and Free Boundaries},
  year = 2020,
}

@article{CTT100840687,
  author = {Yoshihiro Tonegawa and Yuki Tsukamoto},
  title = {A diffused interface with the advection term in a Sobolev space},
  journal = {CALC VAR PARTIAL DIF},
  year = 2020,
}

@article{CTT100799825,
  author = {Yoshihiro Tonegawa and Takashi Kagaya},
  title = {A singular perturbation limit of diffused interface energy with a fixed contact angle condition},
  journal = {Indiana University Math. J.},
  year = 2018,
}

@article{CTT100747492,
  author = {Takashi Kagaya and Yoshihiro Tonegawa},
  title = {A fixed contact angle condition for varifolds},
  journal = {Hiroshima Math. J.},
  year = 2017,
}

@article{CTT100736459,
  author = {Lami Kim and Yoshihiro Tonegawa},
  title = {On the mean curvature flow of grain boundaries},
  journal = {Annales de l'Institut Fourier (Grenoble)},
  year = 2017,
}

@article{CTT100712073,
  author = {Riku Takahashi and Yumihiko Ikura and Daniel Rudolf King and Takayuki Nonoyama and Tasuku Nakajima and Takayuki Kurokawa and Hirotoshi Kuroda and Yoshihiro Tonegawa and Jian Ping Gong},
  title = {Coupled instabilities of surface crease and bulk bending during fast free swelling of hydrogel},
  journal = {Soft Matter},
  year = 2016,
}

@article{CTT100712071,
  author = {Keisuke Takasao and Yoshihiro Tonegawa},
  title = {Existence and regularity of mean curvature flow with transport term in higher dimensions},
  journal = {Mathematische Annalen},
  year = 2016,
}

@article{CTT100712072,
  author = {Neshan Wickramasekera and Yoshihiro Tonegawa},
  title = {The blow up method for Brakke flows: networks near triple junctions},
  journal = {Archive for Rational Mechanics and Analysis},
  year = 2016,
}

@article{CTT100699324,
  author = {Masashi Mizuno and Yoshihiro Tonegawa},
  title = {Convergence of the Allen-Cahn equation with Neumann boundary conditions},
  journal = {SIAM Journal on Mathematical Analysis},
  year = 2015,
}

@article{CTT100699287,
  author = {Kota Kasai and Yoshihiro Tonegawa},
  title = {A general regularity theory for weak mean curvature flow},
  journal = {Calculus of Variations and Partial Differential Equations},
  year = 2014,
}

@article{CTT100699323,
  author = {Yoshihiro Tonegawa},
  title = {A second derivative Hoelder estimate for weak mean curvature flow},
  journal = {Advances in Calculus of Variations},
  year = 2014,
}

@article{CTT100699319,
  author = {Chun Liu and Norifumi Sato and Yoshihiro Tonegawa},
  title = {Two-phase flow problem coupled with mean curvature flow},
  journal = {Interfaces and Free Boundaries},
  year = 2012,
}

@article{CTT100699318,
  author = {Yoshihiro Tonegawa and Neshan Wickramasekera},
  title = {Stable phase interfaces in the van der Waals-Cahn-Hilliard theory},
  journal = {Journal fur reine und angewandte Mathematik},
  year = 2012,
}

@article{CTT100699317,
  author = {Chun Liu and Norifumi Sato and Yoshihiro Tonegawa},
  title = {On the existence of mean curvature flow with transport term},
  journal = {Interfaces and Free Boundaries},
  year = 2010,
}

@article{CTT100699293,
  author = {Matthias Röger and Yoshihiro Tonegawa},
  title = {Convergence of phase-field approximations to the Gibbs–Thomson law},
  journal = {Calculus of Variations and Partial Differential Equations},
  year = 2008,
}

@article{CTT100699315,
  author = {Ming-Chun Hong and Yoshihiro Tonegawa and Alzubaidi Yassin},
  title = {Partial regularity of weak solutions to Maxwell's equation in quasi-static electromagnetic field},
  journal = {Methods and Applications of Analysis},
  year = 2008,
}

@article{CTT100699316,
  author = {Yoshihiro Tonegawa},
  title = {Applications of geometric measure theory to two-phase separation problems},
  journal = {Sugaku Expositions},
  year = 2008,
}

@article{CTT100699313,
  author = {Yoshikazu Giga and Motohiko Kubo and Yoshihiro Tonegawa},
  title = {Magnetic clusters and fold energies},
  journal = {Proc. Roy. Soc. Edinburgh Sect. A},
  year = 2007,
}

@article{CTT100699294,
  author = {Yuko Nagase and Yoshihiro Tonegawa},
  title = {A singular perturbation problem with integral curvature bound},
  journal = {Hiroshima mathematical journal},
  year = 2007,
}

@article{CTT100699314,
  author = {Maria Westdickenberg and Yoshihiro Tonegawa},
  title = {Higher multiplicities in the one-dimensional Allen-Cahn action functional},
  journal = {Indiana University Math. Journal},
  year = 2007,
}

@article{CTT100699295,
  author = {Robert V. Kohn and Maria G. Reznikoff and Yoshihiro Tonegawa},
  title = {Sharp-interface limit of the Allen-Cahn action functional in one space dimension},
  journal = {Calculus of variations and partial differential equations},
  year = 2006,
}

@article{CTT100699296,
  author = {Yoshihiro Tonegawa and Noriaki Umeda and Tohru Hayakawa and Teruo Ishibashi},
  title = {Evaluation of data in terms of two-dimensional random walk model: Interaction between NADH-cytochrome b5 reductase and cytochrome b5},
  journal = {Biomedical Research},
  year = 2005,
}

@article{CTT100699309,
  author = {Yoshihiro Tonegawa},
  title = {On stable critical points for a singular perturbation problem},
  journal = {Comm. Analysis and Geometry},
  year = 2005,
}

@article{CTT100699310,
  author = {Yunmei Chen and M. Rao and Y. Tonegawa and T. Wunderli},
  title = {Partial regularity for a selective smoothing functional for image restoration in BV space},
  journal = {SIAM Journal on Mathematical Analysis},
  year = 2005,
}

@article{CTT100699312,
  author = {Yuko Nagase and Yoshihiro Tonegawa},
  title = {Interior gradient estimate for 1-D anisotropic curvature flow},
  journal = {Boletim da Sociedade Paranaense de Matematica},
  year = 2005,
}

@article{CTT100699311,
  author = {Yoshihiro Tonegawa},
  title = {A diffused interface whose chemical potential lies in Sobolev spaces},
  journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci.},
  year = 2005,
}

@article{CTT100699297,
  author = {Yoshihiro Tonegawa},
  title = {Integrality of varifolds in the singular limit of reaction-diffusion equations},
  journal = {Hiroshima mathematical journal},
  year = 2003,
}

@article{CTT100699308,
  author = {Adam Harris and Yoshihiro Tonegawa},
  title = {A $\bar{\partial}\partial$-Poincare lemma for forms near an isolated complex singularity},
  journal = {Proc. Amer. Math. Soc.},
  year = 2003,
}

@article{CTT100699307,
  author = {Yoshihiro Tonegawa},
  title = {Domain dependent monotonicity formula for a singular perturbation problem},
  journal = {Indiana Univ. Math. J.},
  year = 2003,
}

@article{CTT100699306,
  author = {Yoshihiro Tonegawa},
  title = {Phase field model with a variable chemical potential},
  journal = {Proc. Roy. Soc. Edinburgh Sect. A},
  year = 2002,
}

@article{CTT100699305,
  author = {Adam Harris and Yoshihiro Tonegawa},
  title = {$L\sp p$-curvature and the Cauchy-Riemann equation near an isolated singular point},
  journal = {Nagoya Math. J.},
  year = 2001,
}

@article{CTT100699304,
  author = {Gilberto Flores and Pablo Padilla and Yoshihiro Tonegawa},
  title = {Higher energy solutions in the theory of phase transitions: a variational approach},
  journal = {J. Differential Equations},
  year = 2001,
}

@article{CTT100699303,
  author = {Adam Harris and Yoshihiro Tonegawa},
  title = {Analytic continuation of vector bundles with $L\sp p$-curvature},
  journal = {Internat. J. Math.},
  year = 2000,
}

@article{CTT100699302,
  author = {Yoshihiro Tonegawa},
  title = {Some remarks on the level set flow by anisotropic curvature},
  journal = {Calc. Var. Partial Differential Equations},
  year = 2000,
}

@article{CTT100699301,
  author = {John E. Hutchinson and Yoshihiro Tonegawa},
  title = {Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory},
  journal = {Calc. Var. Partial Differential Equations},
  year = 2000,
}

@article{CTT100699299,
  author = {Pablo Padilla and Yoshihiro Tonegawa},
  title = {On the convergence of stable phase transitions},
  journal = {Comm. Pure Appl. Math.},
  year = 1998,
}

@article{CTT100699300,
  author = {Yoshihiro Tonegawa},
  title = {On the regularity of a chemical reaction interface},
  journal = {Comm. Partial Differential Equations},
  year = 1998,
}

@article{CTT100699298,
  author = {Yoshihiro Tonegawa},
  title = {Existence and regularity of constant mean curvature hypersurfaces in hyperbolic space},
  journal = {Math. Z.},
  year = 1996,
}

@article{CTT100699292,
  author = {Robert Hardt and Yoshihiro Tonegawa},
  title = {Partial regularity for evolution problems with discontinuity},
  journal = {Manuscripta Math.},
  year = 1996,
}

@inproceedings{CTT100699322,
  author = {Yoshihiro Tonegawa},
  title = {Introduction to varifold and its curvature flow},
  booktitle = {Nankai Ser. Pure Appl. Math. Theoret. Phys.},
  year = 2013,
}