논문
On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation
- 저자Danielle Hilhorst (Hiroshi Matano, Thanh Nam Nguyen, Hendrik Weber)
- 학술지Journal of Dynamics and Differential Equations 28
- 등재유형
- 게재일자(2016)
We consider an initial value problem for a nonlocal differential equation with a bistable nonlinearity in several space dimensions. The equation is an ordinary differential equation with respect to the time variable t, while the nonlocal term is expressed in terms of spatial integration. We discuss the large time behavior of solutions and prove, among other things, the convergence to steady-states. The proof that the solution orbits are relatively compact is based upon the rearrangement theory.
We consider an initial value problem for a nonlocal differential equation with a bistable nonlinearity in several space dimensions. The equation is an ordinary differential equation with respect to the time variable t, while the nonlocal term is expressed in terms of spatial integration. We discuss the large time behavior of solutions and prove, among other things, the convergence to steady-states. The proof that the solution orbits are relatively compact is based upon the rearrangement theory.
