Twenty Twelve : Remove Page Title for one page

Hi,

I have a static welcome page which I would like to modify.
Whenever one adds a new page, the “title” of the page is automatically added, which in some cases are OK, but in some cases I would really like to get rid of it.

How do I accomplish this?

I have created a child-theme to modify the header.php file, but I am not sure how to go about removing the Page Title for just a few pages and not all.

Thanks in advance!

Sincerely,
Andreas