Hi all, I have exactly the same problem with my Xperia Z1. I did an Soft Reset, then a Hard Reset without suchen.
I have still the same Problem, that an unintendet Shut down after 10sec. to max 5 min of working with the Phone.
Everything works fine, when the phone is in charging mode.
So I installed a new accu. Original Sony.
Now it is a little better, but the problem still exist.
The Shut down is between 2 and 5 min of working.
My phone is now 2 1/2 years old, but I love it.
Please help me