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庄田 敏宏(Toshihiro Shoda) 佐賀大学(Saga U.) 3

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偏微分方程式の解の幾何的様相

Geometric aspects of solutions to partial differential equations RIMS共同研究(公開型)報告集

2019年6月10日〜6月12日

研究代表者 高坂 良史 (Yoshihito Kohsaka)

目次

1. Positive solutions to semi-linear elliptic problems on metric graphs . . . . 柴田 将敬(Masataka Shibata) 東京工業大学(Tokyo Inst. Tech.)

2. On sharpness of the Yang-Yau inequality for the genus two case . . . . 庄田 敏宏(Toshihiro Shoda) 佐賀大学(Saga U.)

3. A GRADIENT-FLOW APPROACH FOR THE CONVERGENCE

OF THE ANISOTROPIC ALLEN-CAHN EQUATION . . . .

Tim Laux UC Berkeley

4. A remark on the asymptotic behavior of solutions of the Allen-Cahn equation . . . .

菅 徹(Toru Kan) 大阪府立大学(Osaka Pref. U.)

5. TRAVELING WAVE SOLUTIONS OF FREE BOUNDARY PROBLEMS . . . . 物部 治徳(Harunori Monobe) 岡山大学 (Okayama U.)

二宮 広和(Hirokazu Ninomiya) 明治大学 (Meiji U.)

6. Singular limit problem for the Allen-Cahn equation with a zero Neumann boundary condition on non-convex domains . . . .

可香谷 隆(Takashi Kagaya) 九州大学(Kyushu U.)

7. Upper bounds for higher-order Poincar´e constants . . . .

船野 敬(Kei Funano) 東北大学 (Tohoku U.)

8. LIPSCHITZ BOUNDS . . . . Cristiana De Filippis U. Torino

Giuseppe Mingione U. Parma

9. Two limits on Hardy and Sobolev inequalities . . . . 佐野 めぐみ(Megumi Sano) 広島大学(Hiroshima U.)

10. Explicit viscosity solution of the crystalline curvature flow with fattening . . . . Norbert Poˇz´ar 金沢大学(Kanazawa U.)

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