論文

査読有り 最終著者
2017年

Weak formulation for singular diffusion equation with dynamic boundary condition

Springer INdAM Series
  • Ryota Nakayashiki
  • ,
  • Ken Shirakawa

22
開始ページ
405
終了ページ
429
記述言語
英語
掲載種別
論文集(書籍)内論文
DOI
10.1007/978-3-319-64489-9_16
出版者・発行元
Springer International Publishing

In this paper, we propose a weak formulation of the singular diffusion equation subject to the dynamic boundary condition. The weak formulation is based on a reformulation method by an evolution equation including the subdifferential of a governing convex energy. Under suitable assumptions, the principal results of this study are stated in forms of Main Theorems A and B, which are respectively to verify: the adequacy of the weak formulation
the common property between the weak solutions and those in regular problems of standard PDEs.

リンク情報
DOI
https://doi.org/10.1007/978-3-319-64489-9_16
共同研究・競争的資金等の研究課題
構造相転移を伴う非線形自由境界問題における形態変化する安定構造の研究

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