I was wondering what will happen in an event of large scale network split were a large portion of the nodes can’t communicate with the rest of the network for days.
The chances for this are pretty small. One node connected to both sides it's enough to have no actual split.
The more realistic chance for such thing to be happening is for a relatively small region, probably one country, which will be done on purpose, hence probably the mining won't go well there either.
Now, let's go by your initial logic. If such a thing happens, keep in mind that the difficulty will remain very high, while a good amount of miners (let's also say half of them) may be seen as offline (by every side). This means that the blocks will come much slower. That could trigger a response from developers in order to do a fix related to difficulty and also, why not, a fork in order to conserve the current chain (i.e. the other side will never be able to rejoin). But I went on science-fiction realm with you
, realistically it's not a big issue since the region will be small and will probably have no chance to mine anything because of the difficulty.