Bent rectangles as viscosity solutions over a circle

GIGA, YOSHIKAZU; Gorka, Przemyslaw; Rybka, Piotr

Hokkaido University Preprint Series in Mathematics, 2014, 1062, 1-35

Permalink : https://doi.org/10.14943/84206

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アクセス権	open access
DOI	https://doi.org/10.14943/84206
URI	https://hdl.handle.net/2115/69866
タイトル	Bent rectangles as viscosity solutions over a circle
著者	GIGA, YOSHIKAZU ; Gorka, Przemyslaw ; Rybka, Piotr
著者名 GIGA, YOSHIKAZU
著者名 Gorka, Przemyslaw
著者名 Rybka, Piotr
言語	英語
発行日	2014-10-28
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1062
ページ	1-35
抄録	We study the motion of the so-called bent rectangles by the singular weighted mean curvature. We are interested in the curves which can be rendered as graphs over a smooth onedimensional reference manifold. We establish a sufficient condition for that. Once we deal with graphs we can have the tools of the viscosity theory available, like the Comparison Principle. With its help we establish uniqueness of variational solutions constructed by the authors [18]. In addition, we establish a criterion for the mobility coefficient guaranteeing vertex preservation.
資源タイプ	紀要論文
出版タイプ	Version of Record