Addendum to “Classification of marginally trapped Lorentzian flat surfaces in and its application to biharmonic surfaces”

Due to omission, an additional family shall be added to the list of marginally trapped Lorentzian flat surfaces in E 2 4 given in Theorem 4.1 of [B.-Y. Chen, Classification of marginally trapped Lorentzian flat surfaces in E 2 4 and its application to biharmonic surfaces, J. Math. Anal. Appl. 340 (2008) 861–875].