<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>Document</title>
<style>
.container {
background: #f5f5f5;
border: 1px solid #cecece;
height: 200px;
overflow: auto;
max-width: 700px;
margin: 0 auto;
padding: 10px;
}
</style>
</head>
<body>
<div>
<input type="text" class="campo">
</div>
<div class="container">
<p>
Lorem ipsum dolor sit amet, consectetur adipisicing elit. Maxime pariatur, possimus explicabo, quod, corporis unde excepturi accusamus rem repudiandae a obcaecati qui mollitia eaque tenetur consequuntur numquam odit amet natus!
</p>
<p>
Lorem ipsum dolor sit amet, consectetur adipisicing elit. Natus numquam, architecto, expedita placeat ratione delectus repellendus quae voluptate distinctio dignissimos totam maxime non tenetur modi nihil consequuntur fugiat enim dolorem!
</p>
<p>
Lorem ipsum dolor sit amet, consectetur adipisicing elit. Natus numquam, architecto, expedita placeat ratione delectus repellendus quae voluptate distinctio dignissimos totam maxime non tenetur modi nihil consequuntur fugiat enim dolorem!
</p>
<p>
Lorem ipsum dolor sit amet, consectetur adipisicing elit. Natus numquam, architecto, expedita placeat ratione delectus repellendus quae voluptate distinctio dignissimos totam maxime non tenetur modi nihil consequuntur fugiat enim dolorem!
</p>
<p>
Lorem ipsum dolor sit amet, consectetur adipisicing elit. Natus numquam, architecto, expedita placeat ratione delectus repellendus quae voluptate distinctio dignissimos totam maxime non tenetur modi nihil consequuntur fugiat enim dolorem!
</p>
</div>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.12.4/jquery.min.js"></script>
<script>
jQuery(document).ready(function($){
var height = $('.container').height();
$('.campo').keyup(function (e){
if(e.which ==38) {
//Que .container haga scroll hacia arriba
$('.container').scrollTop(0);
} else if(e.which ==40) {
//Que .container haga scroll hacia abajo
$('.container').scrollTop(height);
}
});
});
</script>
</body>
</html>