EMB-135 Captain reported Elevator Control problems affecting both Captain and First Officer sides. The controllability issues seemed to be worse at slower speeds. The flight crew continued to destination airport and wrote the issue up in the aircraft logbook.

Narrative

On takeoff First Officer was pilot flying. We had a GPWS failure with landing gear aural warning. AP was engaged at 500; and VS speed was selected to reduce pitch for 2;000 foot hold down. Through climb to 10;000 feet First Officer reported that the elevator control did not pull back all the way on initial climb. There were distractions with the GPWS failure but the First Officer said it had a point where it was very stiff however you could pull back with difficulty. Rest of climb was normal. On approach into ZZZ we opted for visual Runway XX and clicked off AutoPilot early to feel controls. Elevator control had a point upon pulling back where it took a few pounds of pressure to pull back and through. As we slowed it worsened to several pounds of pressure; and then worse on short final. Trim worked appropriately and was able trim and add power to assist with pitch. Forward movement worked fine; but when you moved yolk forward at slow speed on short final you were then unable to pull back without extreme effort. After landing elevator seemed completely locked. As we taxied off the Runway; elevator check was totally fine and normal. Flight control check on ground in ZZZ1 was totally fine and normal before takeoff as well. Both Captain and First Officer side were affected.