論文

• Salvatore Stuvard, Yoshihiro Tonegawa. On the existence of canonical multi-phase Brakke flows, Advances in Calculus of Variations, Vol. 17, Issue 1, pp. 33-78, Jan. 2024.
• Ryunosuke Mori, Eita Tomimatsu, Yoshihiro Tonegawa. Brakke's formulation of velocity and the second order regularity property, Indiana University Mathematical Journal, Vol. 72, No. 5, pp. 1909-1930, Oct. 2023.
• Salvatore Stuvard, Yoshihiro Tonegawa. An existence theorem for Brakke flow with fixed boundary conditions, CALC VAR PARTIAL DIF, Springer, Vol. 60, Jan. 2021.
• Lami Kim, Yoshihiro Tonegawa. Existence and regularity theorems of one-dimensional Brakke flows, Interfaces and Free Boundaries, European Mathematical Society, Vol. 22, No. 4, p. 505-550, Dec. 2020.
• Yoshihiro Tonegawa, Yuki Tsukamoto. A diffused interface with the advection term in a Sobolev space, CALC VAR PARTIAL DIF, Springer, Vol. 59, p. 23, Oct. 2020.  公式リンク  
  
• Yoshihiro Tonegawa, Takashi Kagaya. A singular perturbation limit of diffused interface energy with a fixed contact angle condition, Indiana University Math. J., Vol. 67, No. 4, p. 1425–1437, Apr. 2018.
• Takashi Kagaya, Yoshihiro Tonegawa. A fixed contact angle condition for varifolds, Hiroshima Math. J., Vol. 47, No. 2, p. 139-153, July 2017.
• Lami Kim, Yoshihiro Tonegawa. On the mean curvature flow of grain boundaries, Annales de l'Institut Fourier (Grenoble), Vol. 66, No. 1, p. 43-142, 2017.
• Riku Takahashi, Yumihiko Ikura, Daniel Rudolf King, Takayuki Nonoyama, Tasuku Nakajima, Takayuki Kurokawa, Hirotoshi Kuroda, Yoshihiro Tonegawa, Jian Ping Gong. Coupled instabilities of surface crease and bulk bending during fast free swelling of hydrogel, Soft Matter, 12, 5081-5088, 2016.
• Keisuke Takasao, Yoshihiro Tonegawa. Existence and regularity of mean curvature flow with transport term in higher dimensions, Mathematische Annalen, 32, 3-4, 857-935, 2016.
• Neshan Wickramasekera, Yoshihiro Tonegawa. The blow up method for Brakke flows: networks near triple junctions, Archive for Rational Mechanics and Analysis, 221, 3, 1161-1222, 2016.
• Masashi Mizuno, Yoshihiro Tonegawa. Convergence of the Allen-Cahn equation with Neumann boundary conditions, SIAM Journal on Mathematical Analysis, Vol. 47, No. 3, p. 1906-1932, 2015.
• Kota Kasai, Yoshihiro Tonegawa. A general regularity theory for weak mean curvature flow, Calculus of Variations and Partial Differential Equations, Springer, Vol. 50, No. 1, p. 1-68, 2014.
• Yoshihiro Tonegawa. A second derivative Hoelder estimate for weak mean curvature flow, Advances in Calculus of Variations, Vol. 7, No. 1, p. 91-138, 2014.
• Chun Liu, Norifumi Sato, Yoshihiro Tonegawa. Two-phase flow problem coupled with mean curvature flow, Interfaces and Free Boundaries, Vol. 14, No. 2, p. 185-203, 2012.
• Yoshihiro Tonegawa, Neshan Wickramasekera. Stable phase interfaces in the van der Waals-Cahn-Hilliard theory, Journal fur reine und angewandte Mathematik, Vol. 668, p. 191-210, 2012.
• Chun Liu, Norifumi Sato, Yoshihiro Tonegawa. On the existence of mean curvature flow with transport term, Interfaces and Free Boundaries, Vol. 12, No. 2, p. 251-277, 2010.
• Matthias Röger, Yoshihiro Tonegawa. Convergence of phase-field approximations to the Gibbs–Thomson law, Calculus of Variations and Partial Differential Equations, Springer Berlin / Heidelberg, Vol. 32, No. 1, p. 111-136, 2008.
• Ming-Chun Hong, Yoshihiro Tonegawa, Alzubaidi Yassin. Partial regularity of weak solutions to Maxwell's equation in quasi-static electromagnetic field, Methods and Applications of Analysis, Vol. 15, No. 2, p. 205-222, 2008.
• Yoshihiro Tonegawa. Applications of geometric measure theory to two-phase separation problems, Sugaku Expositions, Vol. 21, No. 1, p. 97-115, 2008.
• Yoshikazu Giga, Motohiko Kubo, Yoshihiro Tonegawa. Magnetic clusters and fold energies, Proc. Roy. Soc. Edinburgh Sect. A, Vol. 137, No. 1, p. 23-40, 2007.
• Yuko Nagase, Yoshihiro Tonegawa. A singular perturbation problem with integral curvature bound, Hiroshima mathematical journal, 広島大学, Vol. 37, No. 3, p. 455-489, 2007.
• Maria Westdickenberg, Yoshihiro Tonegawa. Higher multiplicities in the one-dimensional Allen-Cahn action functional, Indiana University Math. Journal, Vol. 56, No. 6, p. 2935-2989, 2007.
• Robert V. Kohn, Maria G. Reznikoff, Yoshihiro Tonegawa. Sharp-interface limit of the Allen-Cahn action functional in one space dimension, Calculus of variations and partial differential equations, Springer, Vol. 25, No. 4, p. 503-534, 2006.
• Yoshihiro Tonegawa, Noriaki Umeda, Tohru Hayakawa, Teruo Ishibashi. Evaluation of data in terms of two-dimensional random walk model: Interaction between NADH-cytochrome b5 reductase and cytochrome b5, Biomedical Research, Biomedical Research Press, Vol. 26, No. 5, p. 207-212, 2005.
• Yoshihiro Tonegawa. On stable critical points for a singular perturbation problem, Comm. Analysis and Geometry, Vol. 13, No. 2, p. 439-459, 2005.
• Yunmei Chen, M. Rao, Y. Tonegawa, T. Wunderli. Partial regularity for a selective smoothing functional for image restoration in BV space, SIAM Journal on Mathematical Analysis, Vol. 37, No. 4, p. 1098-1116, 2005.
• Yuko Nagase, Yoshihiro Tonegawa. Interior gradient estimate for 1-D anisotropic curvature flow, Boletim da Sociedade Paranaense de Matematica, Vol. 23, No. 1-2, p. 93-98, 2005.
• Yoshihiro Tonegawa. A diffused interface whose chemical potential lies in Sobolev spaces, Ann. Scuola Norm. Sup. Pisa Cl. Sci., Vol. (5) 4, p. 487-510, 2005.
• Yoshihiro Tonegawa. Integrality of varifolds in the singular limit of reaction-diffusion equations, Hiroshima mathematical journal, 広島大学, Vol. 33, No. 3, p. 323-341, 2003.
• Adam Harris, Yoshihiro Tonegawa. A $\bar{\partial}\partial$-Poincare lemma for forms near an isolated complex singularity, Proc. Amer. Math. Soc., Vol. 131, p. 3329-3334, 2003.
• Yoshihiro Tonegawa. Domain dependent monotonicity formula for a singular perturbation problem, Indiana Univ. Math. J., Vol. 52, p. 69-84, 2003.
• Yoshihiro Tonegawa. Phase field model with a variable chemical potential, Proc. Roy. Soc. Edinburgh Sect. A, Vol. 132, No. 4, p. 993-1019, 2002.
• Adam Harris, Yoshihiro Tonegawa. $L\sp p$-curvature and the Cauchy-Riemann equation near an isolated singular point, Nagoya Math. J., Vol. 164, p. 35-51, 2001.
• Gilberto Flores, Pablo Padilla, Yoshihiro Tonegawa. Higher energy solutions in the theory of phase transitions: a variational approach, J. Differential Equations, Vol. 169, No. 1, p. 190-207, 2001.
• Adam Harris, Yoshihiro Tonegawa. Analytic continuation of vector bundles with $L\sp p$-curvature, Internat. J. Math., Vol. 11, No. 1, p. 29-40, 2000.
• Yoshihiro Tonegawa. Some remarks on the level set flow by anisotropic curvature, Calc. Var. Partial Differential Equations, Vol. 10, No. 2, p. 101-118, 2000.
• John E. Hutchinson, Yoshihiro Tonegawa. Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory, Calc. Var. Partial Differential Equations, Vol. 10, No. 1, p. 49-84, 2000.
• Pablo Padilla, Yoshihiro Tonegawa. On the convergence of stable phase transitions, Comm. Pure Appl. Math., Vol. 51, No. 6, p. 551-579, 1998.
• Yoshihiro Tonegawa. On the regularity of a chemical reaction interface, Comm. Partial Differential Equations, Vol. 23, No. 7-8, p. 1181-1207, 1998.
• Yoshihiro Tonegawa. Existence and regularity of constant mean curvature hypersurfaces in hyperbolic space, Math. Z., Vol. 221, No. 4, p. 591-615, 1996.
• Robert Hardt, Yoshihiro Tonegawa. Partial regularity for evolution problems with discontinuity, Manuscripta Math., Vol. 90, No. 1, p. 85-103, 1996.

著書

• Yoshihiro Tonegawa. Brakke's mean curvature flow, Brakke's mean curvature flow, Springer, Apr. 2019.

国際会議発表 (査読なし・不明)

• Yoshihiro Tonegawa. Introduction to varifold and its curvature flow, Nankai Ser. Pure Appl. Math. Theoret. Phys., Vol. 10, p. 213-226, 2013.

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