for all . The possibilities for are as follows.
Furthermore, it is possible to describe in detail the behavior of the solutions along the circles; see [75, Theorem 1.3–1.5, pp. 662–664] as well as [75, Figure 1.1–1.3, pp. 663–664]. In fact, the solution tends to the boundary along the circle when and , and are not all equal to zero. In the case of , the solution oscillates around the circle forever and is asymptotically periodic with respect to a logarithmic time coordinate.
This work is licensed under a Creative Commons License.