From what I've heard, we won't die if someone else murders us. Suicides don't work, regardless of how successful the attempt actually was. I'm fairly sure accidental death won't be permanent, either, though I'd need to get that verified.
In the event that we die here, or sustain fatal injuries, apparently we awaken in a Pokémon Center some hours later. Whatever killed us will be healed. However, if you received secondary, non-fatal injuries - broken bones, for example - those won't be healed and will take the usual amount of time to recover.
I haven't died here myself, but I've spoken to those who have - people that have no reason to lie about such things, no less. I can attest to non-fatal injuries taking a while to heal, however; I took some damage to my spine a while back, and it still gives me trouble from time to time.
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In the event that we die here, or sustain fatal injuries, apparently we awaken in a Pokémon Center some hours later. Whatever killed us will be healed. However, if you received secondary, non-fatal injuries - broken bones, for example - those won't be healed and will take the usual amount of time to recover.
I haven't died here myself, but I've spoken to those who have - people that have no reason to lie about such things, no less. I can attest to non-fatal injuries taking a while to heal, however; I took some damage to my spine a while back, and it still gives me trouble from time to time.