The obstacle problem for a fourth order semilinear parabolic equation

Shinya Okabe, Kensuke Yoshizawa

研究成果: Article査読

抄録

This paper is concerned with the obstacle problem for the L2-gradient flow for a functional which is higher order, non-convex and unbounded from below. We prove (i) the existence and uniqueness of local-in-time solutions to the obstacle problem and (ii) a gradient structure of the functional of the solutions, via minimizing movements. Moreover, we show the existence of solutions which blow up in a finite time.

本文言語English
論文番号111902
ジャーナルNonlinear Analysis, Theory, Methods and Applications
198
DOI
出版ステータスPublished - 2020 9

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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