<?php if(get_the_archive_description()) {?>
<?php the_archive_description( ); ?>
<?php } ?>
<?php if(!get_the_archive_description()) {?>
<?php if ( ! dynamic_sidebar( 'sidebar-4' ) ) : ?>
<aside id="search" class="widget widget_search"><?php get_search_form(); ?></aside>
<?php endif; // end sidebar widget area ?>
<?php }?> <!-- ends the second outer condition -->
The second condition is a widget region

