“There is no memorial planned” for David Bowie, a source tells PEOPLE.
“The family is extremely private, just like Bowie,” the source adds. “Bowie had a tiny, tiny circle of friends and confidantes.”
The rock icon died Sunday after an 18-month battle with cancer. He is survived by his wife of 24 years, Iman, their 15-year-old daughter Lexi, and his son Duncan Jones, 44, from his first marriage to Angela Bowie.
Shortly after Bowie’s death, Duncan returned from New York to L.A., a source close to the family tells PEOPLE.
“Very sorry and sad to say it’s true. I’ll be offline for a while. Love to all,” Duncan Tweeted early Monday morning.
The singer had turned 69 just two days before his death; on the same day, his latest album, Blackstar, was released.
Just hours before news of his passing made headlines, a tribute concert honoring the star was announced. Now, The Roots, Cyndi Lauper and more will memorialize him at a Carnegie Hall show in New York on March 31.
“His death was no different from his life – a work of Art. He made Blackstar for us, his parting gift,” Bowie’s producer Tony Visconti wrote on Facebook Monday. “I knew for a year this was the way it would be. I wasn’t, however, prepared for it. He was an extraordinary man, full of love and life. He will always be with us. For now, it is appropriate to cry.”