Art

J-GLOBAL ID：200902292446703652   Reference number：07A0779422

Construction of Solutions to Heat-Type Problems with Volume Constraint via the Discrete Morse Flow

離散Morse流を介した体積収縮を有する熱的問題に対する解の構築

Author (2)： SVADLENKA Karel (Kanazawa Univ., JPN) ,  OMATA Seiro (Kanazawa Univ., JPN)
Material： Funkcialaj Ekvacioj. International Series  (Funkcialaj Ekvacioj)
Volume： 50  Issue： 2  Page： 261-285  Publication year： Aug. 2007 
JST Material Number： L4931A  ISSN： 0532-8721  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *discrete time system ,...
Semi thesaurus term： 体積収縮

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JST classification (1)： Mathematical physics  (BA03000W)

Reference (8)：

• [1] Bellettini, G., Fusco, G., Some aspects of the dynamic of V = H – $\\\\overline{H}$, J. Differential Equations, 157 (1999), 206-246.
• [2] Huisken, G., The volume preserving mean curvature flow, J. Reine Angew. Math., 382 (1987), 35-48.
• [3] Kikuchi, N., An approach to the construction of Morse flows for variational functionals, in "Nematics—Mathematical and Physical Aspects", ed.: Coron, J.-M., Ghidaglia, J.-M., Hélein, F., NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., 332, Kluwer Acad. Publ., Dodrecht-Boston-London, 1991, 195-198.
• [4] Ladyzhenskaya, O. A., Solonnikov, V. A., Ural'tseva, N. N., Linear and Quasilinear Equations of Parabolic Type, Translations of the A.M.S. 23, Providence R.I., 1968.
• [5] Nagasawa, T., Omata, S., Discrete Morse semiflows of a functional with free boundary, Adv. Math. Sci. Appl., 2 (1993), 147-187.

Terms in the title (3)： 体積収縮 ,  解 ,  構築