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Courteney Cox and David Arquette have separated after 11 years of marriage, a source confirms to

The couple, who met on the set of 1996's Scream and married in 1999, pledge to remain friends while parenting their 6-year-old daughter, Coco.

"We have agreed to a trial separation that dates back for some time. The reason for this separation is to better understand ourselves and the qualities we need in a partner and for our marriage," the couple tells Us in a statement. "We remain best friends and responsible parents to our daughter and we still love each other deeply.

"As we go though this process we are determined to use kindness and understanding to get through this together. We are comfortable with the boundaries that we have established for each other during this separation and we hope that our friends, family, fans and the media also show us respect, dignity, understanding and love at this time as well," the couple says.

A source confirms to Us that the pair have fought hard to make things work.

"There's no ill will there," the insider says. "They just grew apart."