White scored on a power play in the first period and Wallin extended the lead early in the third period as the Sharks put together two of their best back-to-back games to jump on top of the Red Wings for the second consecutive year.
While Detroit could blame a lack of rest for falling into a 3-0 hole to San Jose a year ago following a seven-game first-round series, the Red Wings were well-rested this year after sweeping Phoenix. But that made no difference against a determined Sharks team that has won 10 of 12 games against Detroit.
LIGHTNING 3, CAPITALS 2 (OT)
In Washington, Vincent Lecavalier scored his second goal of the game 6:19 into overtime, and Tampa Bay beat the top-seeded Washington for a 2-0 lead in the Eastern Conference semifinals.
Fifth-seeded Tampa Bay appeared headed for a much simpler victory, leading 2-1 in the third period, but two-time NHL MVP Alex Ovechkin forced the extra period by scoring with 67 seconds left in regulation.
Dwayne Roloson made 35 saves as the Lightning won their fifth consecutive game.
The series now shifts to Tampa for Game 3 on Tuesday, followed by Game 4 the next night.
Martin St. Louis scored Tampa Bay's other goal.
Brooks Laich scored for Washington in the second period.
Washington's power play went 0 for 6 and is 0 for 11 in the series.