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The Dzyaloshinskii-Moriya anisotropy, responsible for helimagnetism in Ba2CuGe2O7, has recently been shown to comprise also a weak-ferromagnetic component. We theoretically demonstrate the signatures of weak-ferromagnetism in the magnon spectrum when a magnetic field is applied perpendicular to the z axis. We also anticipate the occurrence of unconventional domain walls in the so-called intermediate phase, and briefly elucidate the importance of the weak ferromagnetic component of the Dzyaloshinskii-Moriya anisotropy for the dynamics of driven domain walls. DOI: 10.12693/APhysPolA.126.3