owl carousel not working after ajax load [duplicate]

The reason you cannot use this by default is because of no conflict.

From the Codex:

The jQuery library included with WordPress is set to the noConflict() mode (see wp-includes/js/jquery/jquery.js). This is to prevent compatibility problems with other JavaScript libraries that WordPress can link.

In the noConflict() mode, the global $ shortcut for jQuery is not available, so you can still use:

jQuery(document).ready(function($){
    $.ajaxSetup({cache:false});
    ...
});

Read More in Codex

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