You are using static notifications so you set the property 'notification.newtasks' or 'notification.assigned' to 'true' but users with a valid email address defined in their profile do not receive notifications for the task they are assigned to or for which they are defined as potential owner.
You want to get more info about the issue from the traces.
As from 71X
JAVA mail service, javamail, notification, BPEM, BPM, tc~bpem~base~ear, email, Configuring Mail , KBA , BC-BMT-BPM , Business Process Management - Please use sub components , BC-JAS-ADM-ADM , Administration , BC-JAS-ADM , Java stack local admin tools - Please use sub-components , How To
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