Operatori Laplas, laplasian, d e.l ta-o pe r a tor, D- operator, operatori differensialii khattiero guyand, ki funksiyai f(kh|, kh2, …, khya)-i az p tagyiryobanda (Kh|, kh2, …, khp) vobastaro ba funksiyai
Af =
muvofiq meguzorad.
Dar holati khususi Operatori Laplasro baroi funksiyam dutagyiryobandai f(kh, u) ba shakli zerin menavisand:
d\ a*<r
Df “ dkh* + du*
baron funksiyai yaktagyiryobanda boshad. Operatori Laplas chunin ast:
d, =
Operatori Laplas dar chunin masalahoi fizikai matematiki duchor meshavad, ki dar on khosiyathoi izotropii muhithoi yakjinsa (pahnshavii rushnoi, harakati moei idealii taziqnopazir va gayra)-ro meomuzad.
Muodilai Af = 0-ro odatan muodilai Laplas menomand, ki nomi Operatori Laplas niz az hamin jo barmeoyad.