Change part of homepage in other template

I've got a blog with an index-template looking like this:

<header class="entry-header">
  <h1 class="entry-title">BLOG</h1>
</header>

<div class="entry-content">
  {{outlet}}
</div>

I'm including the content itself inside the outlet (single-post, post-lists etc.). However I'd like to change the h1 of the template above according to the current route.

How would you do that?