If a email adress of a user is not correct, send mail fails when trying to send a mail to the user group where this user is a member

I tried to send an email to jira-users. It turned out, that one of my users had an incorrect email adress, so I got the error message, that some recipiants will not get the email. But what happened was, none of the other group members received an email. When I removed the user with the wrong email address I could send the email without problems