The Board will notify you when it receives your appeal from the local VA office. When the docket number for your appeal is reached, your file will be examined by a Board member and a staff attorney who will check it for completeness, and review all the evidence, your arguments, personal hearing transcripts (if any), the statement of your representative (if you have one) and any other information.
Once a decision has been reached, the Board will notify you in writing. Your decision will be mailed to your home address, so it is extremely important you keep the VA informed of your current address.
If the claimant dies before the Board makes a final decision, the Board normally dismisses the appeal without issuing a decision. The rights of the deceased claimant's survivors are not affected by this action. Survivors may still file a claim at the local VA office for any benefits to which they may be entitled.
Sometimes the Board will remand an appeal, which means it returns the case to your local VA office with instructions for additional work to be done. Remands may occur because of changes in the law, or if you do (or don't do) certain things.
After your local VA office performs whatever additional work is necessary, it will review your case and issue a new decision. If its original ruling still holds, it will send the case back to the Board for a final decision. The case keeps its original place on the Board's docket, so it will be reviewed soon after the Board receives it.