AdhyAtimika problems are ones related to one's own self. These are physical and mental issues that one has to deal within one's own battle of life. Adhibhautika afflictions are imposed on one due to circumstances involving surrounding people and things that come as part of one's prArabdha. Adhidaivika issues are those beyond our control even as a society, things which we call rightly as "Acts of God" such as earthquake, volcanoes, and such calamities.
So when we pray, we ask God as a sarvadhI sAkshin to bring us peace, as a sahasramUrti or a virATapurusha to bring us peace, and also as Ishvara ruling over anything and everything to bring us peace.
iti trivAra satyaM
om shAntiH shAntiH shAntiH