Axionic domain wall number related to U(1)$_{\rm anom}$ global symmetry
  The QCD axion with $f_a$ at an intermediate scale, 10**9-10**12 GeV, seems in
conflict with the gravity spoil of global symmetries and may face the axionic
domain wall problem. We point out that the string compactifications with an
anomalous U(1) gauge symmetry, allowing desirable chiral matter spectra,
circumvent these two problems simultaneously.
