"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",2024,Jan. "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",2023,Oct. "Salvatore Stuvard,Yoshihiro Tonegawa","An existence theorem for Brakke flow with fixed boundary conditions",,"CALC VAR PARTIAL DIF","Springer","Vol. 60",,,2021,Jan. "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",2020,Dec. "Yoshihiro Tonegawa,Yuki Tsukamoto","A diffused interface with the advection term in a Sobolev space",,"CALC VAR PARTIAL DIF","Springer","Vol. 59",,"p. 23",2020,Oct. "Yoshihiro Tonegawa","Brakke's mean curvature flow",,"Brakke's mean curvature flow","Springer",,,,2019,Apr. "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",2018,Apr. "Takashi Kagaya,Yoshihiro Tonegawa","A fixed contact angle condition for varifolds",,"Hiroshima Math. J.",,"Vol. 47","No. 2","p. 139-153",2017,July "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, "Yoshihiro Tonegawa","Introduction to varifold and its curvature flow",,"Nankai Ser. Pure Appl. Math. Theoret. Phys.",,"Vol. 10",,"p. 213-226",2013, "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 R?ger,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,