Car hesitates on takeoff then catches up and runs ok but shuts off at a stop

Hello, This sounds like an EGR issue. If the valve is getting stuck open, it normally dies when it comes to a stop, and hesitation when taking off furthers my suspicion. Another cause is the idle air control valve, but that normally causes stalling any time the engine idles, especially when the engine is cold. Have the EGR system checked, I would bet it is having issues.