Is a wife who is financially independent (i.e. her husband does not support her) allowed to work during the week that her husband is sitting shiva.
Under normal circumstances the wife and children still at home cannot work if the husband is sitting shivah. The rwason being is that their earnings belong to the husband/father. But if the husband tells his wife explicitly that her wages belong only to her then she is allowed to work.
Y:D 380:4, Daas Kedoshim ibid.