MALIBU, Calif. — Containment of the 4,037-acre Franklin Fire in Malibu has grown to 42%, authorities said Sunday.

Teams have completed 95% of the damage inspections, and are reporting 19 structures destroyed (eight single-family dwellings and 11 outbuildings) and 27 structures damaged (14 single-family dwellings, one multi-family dwelling, seven commercial and five outbuildings.)

Firefighters have made steady progress on the destructive wildfire that erupted Monday, helped by cool weather, higher humidity and the absence of strong winds that initially fueled the blaze. But optimism was tempered during a virtual community meeting Saturday night by concern about periods of 20-30 mph offshore winds forecast for Sunday and Monday. A moderate Santa Ana wind event was also forecast for Tuesday through Thursday with wind gusts from the north-northeast of 30-50 mph and lower humidity.

Water-dropping helicopters will still be used to put out hot spots in areas of Malibu Canyon too steep for people to work, officials said.

At the height of the fire, roughly 20,000 people were under either evacuation orders or warnings. On Friday afternoon, Malibu city spokesman Matt Myerhoff announced that all evacuation orders had been reduced to warnings, allowing all residents to return to their homes.

“This significant milestone reflects the progress made by our first responders and partner agencies in ensuring the safety of our community,” Myerhoff said in a statement.

The city will open a local assistance center at Malibu City Hall on Tuesday from 10 a.m. to 4 p.m. City Hall will reopen for normal operations at 8 a.m. Wednesday, and Malibu officials will hold an in-person Town Hall meeting at 6 p.m. that night at City Hall.

Pacific Coast Highway is fully open for traffic, but Malibu Canyon remains closed. Up-to-date information on road closures can be found at pw.lacounty.gov/roadclosures.

The blaze began shortly before 11 p.m. Monday in a Malibu Canyon area where a high volume of dry brush contributed to the rapid spread of the blaze. It erupted in the midst of a rare “particularly dangerous situation red flag warning” issued by the National Weather Service in response to strong wind gusts and dramatically dry conditions.

The cause of the fire was still under investigation.

All Malibu schools within the Santa Monica-Malibu Unified School District were closed through Friday due to continued restrictions in the area. The district’s Santa Monica schools remained open. Officials said Saturday that Malibu Elementary School, Malibu Middle School and Malibu High School would reopen Monday and students from Webster Elementary School will go to Malibu Elementary starting Tuesday.

The Santa Monica College Malibu Campus was also closed through Friday.

City officials also said Saturday that all Malibu parks were open, except Malibu Bluffs Park, Temporary Skate Park and Pool.

The Los Angeles chapter of the Red Cross closed its shelter at the Santa Monica-Malibu Unified School District building at 2802 Fourth St., but officials said residents affected by the fire can still receive assistance by calling 1-800-675-5799.

Los Angeles County Board of Supervisors Chair Kathryn Barger signed a local declaration of emergency in response to the fire early Tuesday morning. Gov. Gavin Newsom announced that the state had secured a Fire Management Assistance Grant from the Federal Emergency Management Agency to assist with the firefight.

“Fire officials and first responders are working relentlessly to protect lives and property from the Franklin Fire,” Newsom said in a statement. “California is grateful for this federal support, which bolsters these efforts.”