By

Jessica Derschowitz /

CBS News/ December 4, 2012, 2:16 PM

Duchess Kate "continuing to feel better," palace says

Catherine, Duchess of Cambridge visits St. Andrew's School on Nov. 30, 2012, in Pangbourne, Berkshire, England.

Catherine, Duchess of Cambridge visits St. Andrew's School on Nov. 30, 2012, in Pangbourne, Berkshire, England. / Arthur Edwards - WPA Pool/Getty Images

A St. James' Palace spokesman said Tuesday that the pregnant Kate, Duchess of Cambridge, is "continuing to feel better" as she spent a second day in a London hospital being treated for acute morning sickness.

14 Photos

Prince William visits Kate at the hospital

"The Duchess of Cambridge is continuing to feel better," the spokesman said. "She and the Duke are immensely grateful for the good wishes they have received."

18 Photos

Can you spot Kate's baby bump?

The spokesman added that the 30-year-old duchess, "will remain in hospital at present and will continue to be treated for hyperemesis gravidarum."

Kate, 30, was admitted to the King Edward VII private hospital on Monday with the severe morning sickness. The palace said she was expected to remain there for several days and would require a period of rest afterward.

Her husband, Prince William, was seen leaving the hospital Monday evening and visiting again on Tuesday.

According to Britain's Telegraph, William, 30, arrived at the hospital around 11:30 a.m. He reportedly left the hospital at around 5:45 p.m., and did not make any comment about his wife's condition.

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SUZAMBA says:
I hope she recovers quickly, morning sickness is horrible. I hope they will protect her as much as possible from the media and her evil step mother-in-law! Congrats to the both of them.
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formerlyluvnut says:
I hope so; she's sooooooooooooo fine...yummy, just yummy.
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rondivoo says:
Welcome to the wonderful world of motherhood, Kate. Expect many physical changes along the way.
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andie52 replies:
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I'm sure that she will be fine.Both she and William will make wonderful parents.
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