They key is what is the foundation under the wall and how is the wall tied into the foundation.

Call a structural engineer or sub it out to a shoring contractor. Avoid the headaches and responsibilities of doing it yourself.

They are solid poured with concrete sitting on a 6" slab on top of 6" crush and run. I've talked to a few contractors about doing the shoring, but they aren't to thrilled about excepting the liability if the wall collapsing, not only that, but the stores that aren't being torn down are going to be open for business while we tear the 80% of the shopping center down.

That is exactly why you should sub it out. God forbid you have a problem, your GL carrier will drop you for working out of your category. I am surprised a shoring contractor won't take it. That is what they are insured to do. I exclude shoring all the time. What state are you located in?

Georgia.

What is going to happen to the wall that remains? Will it be rebuilt with masonry, EIFS, or will a new building be attached to it?
The last one we did, we stopped our demo one set of columns away from the point of the building that was remaining. We left that row of columns in place and cabled the columns for shearing. A new masonry wall was built to the underside of the existing columns. We then went in and removed that last part of the structure.We had to use some shoring in some areas where some beams were in place over windows.
Keep in mind that this was done with a demising/shoring plan.
If you already own the work, at least get an engineer to take a look.
Oh yeah, we also had to weld some reinforcing steel inside the building that was remaining.
The other thing that is a real big concern will be weather protection.

Do yourself a favor and sub it out. You will be thankful later.

NYC Demo, did you ever hear anything on the hotel job in CT? I put a bid in also and never heard back. Where are you from?

Yea we are tearing the stores down for the Fresh Market its expanding. There are 3 Walls to remain. We found a shoring contractor.