### Abstract

We present a new, direct proof of the uniqueness theorem for a class of Hamilton-Jacobi equations including the eikonal equation in geometric optics.

Original language | English |
---|---|

Pages (from-to) | 247-251 |

Number of pages | 5 |

Journal | Proceedings of the American Mathematical Society |

Volume | 100 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1987 |

Externally published | Yes |

### Fingerprint

### Keywords

- Comparison theorems
- Eikonal equation
- Hamilton-jacobi equations
- Uniqueness

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**A simple, direct proof of uniqueness for solutions of the hamilton-jacobi equations of eikonal type.** / Ishii, Hitoshi.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 100, no. 2, pp. 247-251. https://doi.org/10.1090/S0002-9939-1987-0884461-3

}

TY - JOUR

T1 - A simple, direct proof of uniqueness for solutions of the hamilton-jacobi equations of eikonal type

AU - Ishii, Hitoshi

PY - 1987

Y1 - 1987

N2 - We present a new, direct proof of the uniqueness theorem for a class of Hamilton-Jacobi equations including the eikonal equation in geometric optics.

AB - We present a new, direct proof of the uniqueness theorem for a class of Hamilton-Jacobi equations including the eikonal equation in geometric optics.

KW - Comparison theorems

KW - Eikonal equation

KW - Hamilton-jacobi equations

KW - Uniqueness

UR - http://www.scopus.com/inward/record.url?scp=84968483697&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968483697&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1987-0884461-3

DO - 10.1090/S0002-9939-1987-0884461-3

M3 - Article

AN - SCOPUS:84968483697

VL - 100

SP - 247

EP - 251

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -