In Forest Falls, California, about 700 people are sheltering in place after mud and debris flow cut a road off from the rest of the community, according to the San Bernardino County Fire Department. No injuries were reported and crews are working to restore road access, the fire department said.

In nearby Seven Oaks, another 30 people are sheltering in place after flash floods struck several cabins in the area, the fire department said. Crews are working to access the residents and evacuate them, the department said.

All tropical storm warnings have been canceled across Southern California as the remnants of Hilary, which no longer meet the threshold of a tropical cyclone, track north, according to Ariel Cohen, meteorologist in charge at the National Weather Service Los Angeles.

Residual mudslides and rockslides are still a threat in California from the weekend rain.

The moisture from Hilary is now moving through the Rockies. On Monday, the flooding threat will be from the Sierra Nevada mountains into the northern Rockies in Idaho and eastern Oregon.

Los Angeles "avoided a potentially catastrophic set of conditions" from Hilary, LAUSD Superintendent Alberto Carvalho said Monday.

Carvalho defended the decision to close LA's public schools on Monday citing reasons including that many students walk to school and many employees live outside of LA.

"It would have been reckless for us to make a different decision" on Sunday, he said.

Schools appear to be in good condition, he said, noting that about 24 schools don't have phone or internet access and one elementary school that serves students with disabilities appears to have been impacted by a mudslide.

Carvalho said students should expect to resume their regular school day on Tuesday.

No deaths or major injuries have been reported in Los Angeles from Tropical Storm Hilary, LA Mayor Karen Bass said at a news conference Monday.

While LA Fire Department Chief Kristin Crowley said no major damage has been confirmed, the mayor warned that "damage can occur in the hours and days after a storm hits, so Angelenos should continue to stay vigilant."

Mudslides and downed wires are also still a threat, Crowley cautioned, adding that residents should continue to avoid flooded roads.

She said rescuers on Sunday night responded to a flooded intersection where five cars were stranded. No one was hurt, she said.

The mayor added that no injuries were reported from Sunday's earthquake, which was unrelated to Hilary.

As of 11 p.m. ET/8 p.m. PT, Hilary remains a tropical storm with maximum sustained winds now down to 45 mph. The center of Hilary is located about 105 miles northwest of San Diego. It is moving at 28 mph.

Widespread flash flood warnings remain in effect across Southern California as areas of heavy rain continue to sweep through the region. The flash flood warnings in Los Angeles and Ventura Counties have been extended until 3 a.m. PT Monday. Flash flooding is ongoing across the region. There are also warnings in many desert areas, including Death Valley.

The widespread heavy rain in Southern California will begin to ease up soon, first in the southeastern part of the state. After 10 p.m. PT Sunday, there is a notable improvement regionwide, with the worst of the heavy rain over and the rain becoming less intense. There is lingering rain overnight in some areas but not as heavy as earlier.

Even though the rain ends, there could still be residual impacts, like landslides or rockslides.

- ABC News Meteorologist Daniel Peck