assign theme to search result page

I set up site with 3 sections, each section has its own theme based on the first argument in the path. On each section/page there is search block. When using the search function the system displays the search result page in the default theme (set in admin/build/themes), not the one used to do the initial search. That is obvisiously because the path 'search/node' doesn't trigger the specific theme.

Is there a way to make this work?