Remarks on viscosity solutions for mean curvature flow with obstacles

K. Ishii, H. Kamata, Shigeaki Koike

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

Obstacle problems for mean curvature flow equations are concerned. Existence of Lipschitz continuous viscosity solutions are obtained under several hypotheses. Comparison principle globally in time is also discussed.

Original languageEnglish
Title of host publicationMathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday
EditorsYasunori Maekawa, Shuichi Jimbo
PublisherSpringer New York LLC
Pages83-103
Number of pages21
ISBN (Print)9783319667621
DOIs
Publication statusPublished - 2017 Jan 1
Externally publishedYes
EventInternational Conference on Mathematics for Nonlinear Phenomena: Analysis and Computation in Honor of Professor Yoshikazu Giga on his 60th Birthday, MNP 2015 - Sapporo, Japan
Duration: 2015 Aug 16 → 2015 Aug 18

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume215
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherInternational Conference on Mathematics for Nonlinear Phenomena: Analysis and Computation in Honor of Professor Yoshikazu Giga on his 60th Birthday, MNP 2015
CountryJapan
CitySapporo
Period15/8/16 → 15/8/18

Fingerprint

Mean Curvature Flow
Obstacle Problem
Comparison Principle
Viscosity Solutions
Lipschitz

Keywords

  • Mean curvature flow with obstacles
  • Viscosity solutions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ishii, K., Kamata, H., & Koike, S. (2017). Remarks on viscosity solutions for mean curvature flow with obstacles. In Y. Maekawa, & S. Jimbo (Eds.), Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday (pp. 83-103). (Springer Proceedings in Mathematics and Statistics; Vol. 215). Springer New York LLC. https://doi.org/10.1007/978-3-319-66764-5_5

Remarks on viscosity solutions for mean curvature flow with obstacles. / Ishii, K.; Kamata, H.; Koike, Shigeaki.

Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday. ed. / Yasunori Maekawa; Shuichi Jimbo. Springer New York LLC, 2017. p. 83-103 (Springer Proceedings in Mathematics and Statistics; Vol. 215).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ishii, K, Kamata, H & Koike, S 2017, Remarks on viscosity solutions for mean curvature flow with obstacles. in Y Maekawa & S Jimbo (eds), Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday. Springer Proceedings in Mathematics and Statistics, vol. 215, Springer New York LLC, pp. 83-103, International Conference on Mathematics for Nonlinear Phenomena: Analysis and Computation in Honor of Professor Yoshikazu Giga on his 60th Birthday, MNP 2015, Sapporo, Japan, 15/8/16. https://doi.org/10.1007/978-3-319-66764-5_5
Ishii K, Kamata H, Koike S. Remarks on viscosity solutions for mean curvature flow with obstacles. In Maekawa Y, Jimbo S, editors, Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday. Springer New York LLC. 2017. p. 83-103. (Springer Proceedings in Mathematics and Statistics). https://doi.org/10.1007/978-3-319-66764-5_5
Ishii, K. ; Kamata, H. ; Koike, Shigeaki. / Remarks on viscosity solutions for mean curvature flow with obstacles. Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday. editor / Yasunori Maekawa ; Shuichi Jimbo. Springer New York LLC, 2017. pp. 83-103 (Springer Proceedings in Mathematics and Statistics).
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