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We study weak approximation for Ch\^{a}telet surfaces over number fields whenall singular fibers are defined over rational points. We consider Ch\^{a}teletsurfaces which satisfy weak approximation over every finite extension of theground field. We prove many of these results by showing that the Brauer-Maninobstruction vanishes, then apply results of Colliot-Th\'el\`ene, Sansuc, andSwinnerton-Dyer.

Weak approximation on Ch\^{a}telet surfaces