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Timeline for Diverging solution to a SDE

Current License: CC BY-SA 4.0

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Mar 25, 2020 at 17:49 history edited Pierre PC CC BY-SA 4.0
Decluttered.
Mar 25, 2020 at 16:06 comment added Fulgrim Yes thank you very much ! I achieved the proof by myself yesterday, and I used the comparison with the deterministic situation as well. I have previously solved the deterministic equation in all possible case so the fact is implied by this previous work. Your second proof is quite clear though :)
Mar 25, 2020 at 14:34 comment added Pierre PC It should now be complete. I feel like the proofs of the fact are somewhat inefficient, but I cannot find something more convincing. Tell me which one you prefer and I will delete the other.
Mar 25, 2020 at 14:32 history edited Pierre PC CC BY-SA 4.0
Cleaned part of the proof.
Mar 25, 2020 at 14:08 history edited Pierre PC CC BY-SA 4.0
Councluded the argument, with the finite time explosion.
Mar 25, 2020 at 12:28 comment added Pierre PC You are absolutely right! I forgot to add the end of the argument, I'll edit in a bit.
Mar 25, 2020 at 0:19 comment added Fulgrim Great, thanks for the trick ! But if I'm not missing something, I think that we have just showed that $X_t$ diverges almost surely to infinity. We do not have showed that it's in finite time. But I should be able to conclude by myself though.
Mar 24, 2020 at 23:04 vote accept Fulgrim
Mar 24, 2020 at 3:43 history edited Pierre PC CC BY-SA 4.0
Corrected strange bracket behaviour.
Mar 24, 2020 at 1:33 history answered Pierre PC CC BY-SA 4.0