Bibliographic Details
| Title: |
A REPRESENTATION FORMULA FOR VISCOSITY SOLUTIONS OF NONLOCAL HAMILTON-JACOBI EQUATIONS AND APPLICATIONS. |
| Authors: |
TAKASHI KAGAYA1 kagaya@muroran-it.ac.jp, QING LIU2 qing.liu@oist.jp, HIROYOSHI MITAKE3 mitake@ms.u-tokyo.ac.jp |
| Source: |
SIAM Journal on Mathematical Analysis. 2024, Vol. 56 Issue 5, p5807-5839. 33p. |
| Subject Terms: |
*VISCOSITY solutions, *EQUATIONS, *VELOCITY |
| Abstract: |
This paper is concerned with geometric motion of a closed surface whose velocity depends on a nonlocal quantity of the enclosed region. Using the level set formulation, we study a class of nonlocal Hamilton--Jacobi equations and establish a control-based representation formula for solutions. We also apply the formula to discuss the fattening phenomenon and large-time asymptotics of the solutions. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Complete |
