Sentence examples for be a generalized solution from inspiring English sources

and let be a generalized solution of (1.17) with (1.15) and (1.16) satisfying the boundary condition (1.21) on.

Let be a generalized solution of (1.17) with (1.15) and (1.16) satisfying the boundary condition (1.21) on.

Let t0be a fixed number in [0, ∞), u ∈ H l o c 2 m ( Ω ¯ { 0 } ) ∩ H m be a generalized solution of the following elliptic boundary value problem L ( x, t 0, D ) u = f i n Ω, (4.12) N j ( x, t 0, D ) u = g j o n Γ, j = 1, …, m, (4.13).

Suppose that is a generalized solution of problem (3.6)–(3.8) and.

Therefore u ( t ) is a generalized solution of (1).

If is a generalized solution of (1.17) with the generalized boundary condition (1.24), then (2.5).

If u is a generalized solution of problem (4.1), then u ≡ 0 in R l n.

Consequently, the function (U xi,eta)) is a generalized solution to problem (mathit {PK}_{2}).

We now prove that u is a generalized solution of (1.1 - 1.5 - 1.13).

Then for a.e., is a generalized solution in of the Dirichlet problem for elliptic equation (3.13).

If is a generalized solution of (1.17) with the generalized boundary condition (1.21) on, then the inequality (2.4).