05/21/2012 at 12:45 PM EDT
Nick Stahl is getting treatment
– and the real work is beginning.
"Now that he is safe, it's time to focus back on healing," his wife, Rose Stahl, tells PEOPLE.
On May 9, Rose reported to the LAPD
that her husband, who starred in Terminator 3
, was missing. She now says she's "elated" that he has resurfaced and is hopeful he's getting the help he needs in rehab.
Rose, 30, doesn't know if Nick's 30-day stay at an undisclosed facility, which began Saturday, will pull him out of what she says has been the worst addiction cycle of the actor's life – one in which he's turned down acting roles for nine months and has lived apart from her and their 2-year-old daughter since February.
However, Rose tells PEOPLE in an email, "I gotta lotta hope."
" 'How dark it is before the dawn.' I've chanted that a lot in my head. I find comfort in it," adds Rose, who explains that she and many others in her life have also struggled with addiction, so it's a familiar pattern to her.
She says that although she didn't want her missing person's report
made public, "it would be lovely if this publicity helped even one other family find recovery."
For now, she asks that people be supportive of Stahl, 32, and not judgmental as he deals with this problem privately.