Remarks on viscosity solutions for mean curvature flow with obstacles

K. Ishii; H. Kamata; Shigeaki Koike

doi:10.1007/978-3-319-66764-5_5

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 language	English
Title of host publication	Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday
Editors	Yasunori Maekawa, Shuichi Jimbo
Publisher	Springer New York LLC
Pages	83-103
Number of pages	21
ISBN (Print)	9783319667621
DOIs	https://doi.org/10.1007/978-3-319-66764-5_5
Publication status	Published - 2017 Jan 1
Externally published	Yes
Event	International 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

Name	Springer Proceedings in Mathematics and Statistics
Volume	215
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Other

Other	International Conference on Mathematics for Nonlinear Phenomena: Analysis and Computation in Honor of Professor Yoshikazu Giga on his 60th Birthday, MNP 2015
Country	Japan
City	Sapporo
Period	15/8/16 → 15/8/18

Keywords

Mean curvature flow with obstacles
Viscosity solutions

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-3-319-66764-5_5

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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

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