Dynamically change part of a page

Dynamically change part of a page

I use a server-side framework to generate a jQuery Mobile multi-page with several sub-pages. The framework allows server-side handling of JS-events and the server-side event handler can "rewrite" the content of individual HTML elements.
I could have a <div id="myId"><ul data-role="listview">...</ul></div> and from the server-side replace the div content with something else. On the browser side the replacement HTML fragment is parsed and the DOM tree is adjusted.

However, the jQuery Mobile styling etc. does not seem to be applied to any newly inserted content. Can I add a JavaScript call of some kind to have the framework reparse the div?

Cheers,

Silvio