PhpMailer works locally but not on my server distant.

<?php

if ($_SERVER["REQUEST_METHOD"] == "POST") {
    $name = trim($_POST["name"]);
    $email = trim($_POST["email"]);
    $message = trim($_POST["message"]);

    if ($name == "" OR $email == "" OR $message == "" ) {
        echo "You must specify a value for name, email adresse et message.";
        exit;
    }

    foreach( $_POST as $value ){
        if( stripos($value,'Content-Type:') !== FALSE ){
            echo "There was a problem with the information you entered.";    
            exit;
        }
    }

    if ($_POST["adresse"] != ""){
        echo "Your form submission has an error.";
        exit;
    }

    require_once("inc/phpmailer/class.phpmailer.php");
    $mail = new PHPMailer();

    if (!$mail->ValidateAddress($email)){
        echo "Vous devez spécifier une adresse mail valide.";
        exit;
    }

    $email_body = "";
    $email_body = $email_body . "Nom: " . $name . "<br>";
    $email_body = $email_body . "Email: " . $email . "<br>";
    $email_body = $email_body . "Message: " . $message;

    $mail->SetFrom($email, $name);
    $address = "contact@myserver.com";
    $mail->AddAddress($address, "mysitename");
    $mail->Subject    = "mysitename - Formulaire de Contact | " . $name;
    $mail->MsgHTML($email_body);


    if(!$mail->Send()) {
      echo "Une erreur s'est produite. Le mail n'a pas pu être envoyé." . $mail->ErrorInfo;
      exit;
    } 

    header("Location: contact.php?status=merci");
    exit;
}
?> 
<?php 
    $pageTitle = "Contact";
    include('inc/header.php'); ?>


<div class="section-page">

        <h1>Contact</h1>

        <?php if (isset($_GET["status"]) AND $_GET["status"] == "merci") { ?> 

            <p class="merci">Votre message à bien été envoyé !</p>
            <p class="accueil"><a href="caps.php">Retour aux casquettes ?<a/></p>

        <?php } else { ?>

        <p>Complétez tous les champs pour nous envoyer un email !</p>

        <form action="contact.php" method="post" class="contact">

            <label for="name">Nom </label><br>
            <input type="text" name="name" id="name"><br>

            <label for="email">Email </label><br>
            <input type="text" name="email" id="email"><br>

            <label for="message">Message </label><br>
            <textarea name="message" id="message"></textarea><br>

            <label style="display: none;" for="adresse">Adresse (Ne pas rempir..)</label><br>
            <input style="display: none;" type="text" name="adresse" id="adresse"><br>

            <input type="submit" value="envoyer">
        </form>

 <?php } ?>

    </div>