Galactus:
Dormammu:
Its my understanding that it's been ruled that these effects persist even when the power or character who has the power is no longer showing in the game.

1. So what happens if the Minion/Herald has pulsewave used against them?
Do they still get the +1 defense? I don't see why not.

1A.If yes, then what happens when Galactus/Dormammu are also targets of the pulsewave?
1B. Does it matter if those powers are showing on the dial when they are pulse waved?

2. Also, there is no reason Dormammu can't be mind controlled and have this power used by the opposing team.

2A. Once per mind controler?

2B. Can a friendly LE Ironman mind control him so that Dormammu can use it twice on his own team?
Example - Dormammu uses his power on Ironman, Ironman Mind Controls him and he uses it again on Ironman, netting Ironman +2 Stats.

Pulse wave ignores everything but the hindering terrain modifier and blocking terrain. Other than that - it's the numbers on your dial. Nothing else.

I'm not aware of the ruling that the Dormammu power especially continues when not showing. I'd be very interested in seeing the orange on that.

Galactus' power is a trait, and so is, in a way, always "showing" that's why it's continuous.

It only ignores the powers of the people caught within it's blast range though.
Thats why you can use perplex on a character's defense and if that character is hit by pulse wave they still get the +1 defense unless the character who actually owns the perplex was caught int he blast wave too.

Which is why if Galactus and Dormammu are not caught in the blast radius, then their effect definitely would persist on the chosen character.

But if it exists, even when the power isn't showing any more, and especially when the character is entirely removed from the map, then where does the power exist? If it doesn't exist in a set place, then it certainly can't exist inside the radius of the pulse wave, and wouldn't' be ignored.

I have quoted Pulse wave in the OP, with the relevant text.

Of course that's just how i see it, i could be wrong.

I'm almost certain that this is incorrect. While it is correct that you can use PC on the PW character if you're out of range of the PW, I strongly believe that any character that is affected by a power within the radius has that affect ignored.

I'm struggling to think of any examples though.

MegaLotusMan is correct.

Pulse Wave ignores game effects used or possessed by the targeted characters. If a character is a target of a power like Perplex, that character is not using Perplex.

Saying that PW ignores everything is misleading in many ways.

Good questions, the way I would rule it personally...
They would get the +1. This is no different than Perplexing a defense, is the Perplexer in the PW range? Then Perplex is ignored. Outside the range? The Perplex stays.

I would think the Bonus goes away.
I don't think so. Because we have rulings that show us that PW Ignores ALL the powers/abilities even if they aren't on the dial YET, See rulings on Doomsday and LIVE powers. So similarly I would say even if they aren't showing it is still ignored because it is THEIR power/trait.
Not that I can see.
I believe that's how it has been ruled in the past "Once per game, per mind controller."
Again, I believe that's what we've been given. Personally I don't think this should be the case, but Mind Control creates not only a "turn within a turn" but also a "game within a game." So this should work.

Hope that helps, and hope we get some Orange Confirmations. They've been oddly quiet on a lot of these issues, I wonder if there are a LOT of discussions going on in the Deputy Cave.

The big question is whether My Herald makes the chosen charactor a continuous game effect and if so that would mean when Galactus is Pulse Waved he would be treated as a single target even if the herald was within range. The Herald is a GAME EFFECT and the Pulse Wave wouldn't be able to target him do to the fact he's being ignored.

A game effect allowed you to place him on the board. The herald themselves are not a game effect, but a character