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 | |
| 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)
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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