  This paper investigates a partial-information pursuit evasion game in which
the Pursuer has a limited-range sensor to detect the Evader. Given a fixed
final time, we derive the optimal evasion strategy for the Evader to maximize
its distance from the pursuer at the end. Our analysis reveals that in certain
parametric regimes, the optimal Evasion strategy involves a 'risky' maneuver,
where the Evader's trajectory comes extremely close to the pursuer's sensing
boundary before moving behind the Pursuer. Additionally, we explore a special
case in which the Pursuer can choose the final time. In this scenario, we
determine a (Nash) equilibrium pair for both the final time and the evasion
strategy.
