Sentence examples for be a smooth solution from inspiring English sources

Let w be a smooth solution of (L_{epsilon, A}w=f) on Q.

Let ((rho,u)) be a smooth solution to the initial-boundary value problem (2.2).

Let w be a smooth solution to (L_epsilon w=f ) in (Qsubset mathbb {R}^{n+1}).

Let ((rho, mathrm {u}, mathrm {H})) be a smooth solution of (1.1 - 1.6 1.1 - 1.6atimes(0,infty)).

Let (alpha in (0,1), fin C^{infty }(Q)) and w be a smooth solution of (L_{epsilon, A^epsilon }w=f) on Q.

Let (alpha in (0,1), fin C^{infty }(Q)) and w be a smooth solution of (L_{epsilon, A}w=f) on Q.

Assume that is a smooth solution to (1.2) with initial data,, for.

Provided that ((rho,u,eta)) is a smooth solution of (2.1 - 2.5 2.1 - 2.5_{0}geqdeltand wherho_{

We then use the Szegö projection to show there is a smooth solution for the ¯∂b problem given smooth data.

Thus the convolution is well defined and is a smooth solution of the heat equation in and in the sense of generalized functions for all.

It is well known that is a smooth solution of the heat equation in and in the sense of generalized functions, that is, for every, (3.2).