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

• Giga Mi-Ho

• GIGA YOSHIKAZU

• Nakayasu Atsushi

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.

収録刊行物

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 1032 1-20, 2013-04-19

  Department of Mathematics, Hokkaido University

キーワード

• 410

詳細情報

• CRID: 1390009224795461632
• NII論文ID: 120006459721
• DOI: 10.14943/84176
• HANDLE: 2115/69836
• 本文言語コード: en
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles
• 抄録ライセンスフラグ: 使用可