Notice of an injury or death in respect of which compensation is payable under this chapter shall be given within thirty days after the date of such injury or death, or thirty days after the employee or beneficiary is aware, or in the exercise of reasonable diligence or by reason of medical advice should have been aware, of a relationship between the injury or death and the employment, except that in the case of an occupational disease which does not immediately result in a disability or death, such notice shall be given within one year after the employee or claimant becomes aware, or in the exercise of reasonable diligence or by reason of medical advice should have been aware, of the relationship between the employment, the disease, and the death or disability. Notice shall be given (1) to the deputy commissioner in the compensation district in which the injury or death occurred, and (2) to the employer.