Though I haven't tried but this shouldn't be the case. AFAIK, LocalDB\v11.0
introduced in SQL Server 2012 and you can backup/restore between localdb and sqlexpress.
if that's not working then try posting the error/issue you are getting in this post.
Anyway, you can also script your database, schema and data and then run those script locally.
See this post here for the same ...
Once you are connected, you can view the DB objects and script them in SSMS; thereafter run those same script in your sqlexpress instance.