Disclosed herein are panelized wall systems and methods for their construction, wherein the wall systems have elastomeric joints that are resistant to cracking. The walls are constructed with an elastomeric joint tape. The joint tape is made from an elastomeric backing material with an adhesive applied to a face, and optionally, a release liner laminated to the adhesive. In use, building panels are fastened to a frame with the edges adjacent to each other. The joint tape is applied to the seam between the panels and the wall is then finished with an elastomeric finish.