Light Yagami in the anime "Death Note" handles the pressure of being Kira and evading capture by maintaining a calm and composed demeanor, relying on his intellect and strategic thinking to outsmart his pursuers. He carefully plans his actions, manipulates those around him, and uses the Death Note to eliminate anyone who poses a threat to his secret identity. Additionally, Light displays a high level of confidence in his abilities, which helps him cope with the stress and pressure of his double life.
