ON GENERAL EXISTENCE RESULTS FOR ONE-DIMENSIONAL SINGULAR DIFFUSION EQUATIONS WITH SPATIALLY INHOMOGENEOUS DRIVING FORCE

Giga, Mi-Ho; GIGA, YOSHIKAZU; Nakayasu, Atsushi

Hokkaido University Preprint Series in Mathematics, 2013, 1032, 1-20

Permalink : https://doi.org/10.14943/84176

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DOI	https://doi.org/10.14943/84176
URI	https://hdl.handle.net/2115/69836
タイトル	ON GENERAL EXISTENCE RESULTS FOR ONE-DIMENSIONAL SINGULAR DIFFUSION EQUATIONS WITH SPATIALLY INHOMOGENEOUS DRIVING FORCE
著者	Giga, Mi-Ho ; GIGA, YOSHIKAZU ; Nakayasu, Atsushi
著者名 Giga, Mi-Ho
著者名 GIGA, YOSHIKAZU
著者名 Nakayasu, Atsushi
言語	英語
発行日	2013-04-19
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1032
ページ	1-20
抄録	A general anisotropic curvature flow equation with singular in- terfacial energy and spatially inhomogeneous driving force is considered for a curve given by the graph of a periodic function. We prove that the initial value problem admits a unique global-in-time viscosity solution for a general periodic continuous initial datum. The notion of a viscosity solution used here is the same as proposed by Giga, Giga and Rybka, who established a compar- ison principle. We construct the global-in-time solution by careful adaptation of Perron's method.
資源タイプ	紀要論文
出版タイプ	Version of Record