释义 |
parabolic differential equation parabolic differential equation[¦par·ə¦bäl·ik ‚dif·ə′ren·chəl i′kwā·zhən] (mathematics) A general type of second-order partial differential equation which includes the heat equation and has the form where the Ai j , Bi , C, and F are suitably differentiable real functions of x1, x2, …, xn , and there exists at each point (x1, …, xn ) a real linear transformation on the xi which reduces the quadratic form to a sum of fewer than n squares, not necessarily all of the same sign, while the same transformation does not reduce the Bi to 0. Also known as parabolic partial differential equation. |