Sentence examples for in a suitable function from inspiring English sources

We establish the existence and uniqueness of a weak solution in a suitable function spaces under the minimal regularity assumptions on the boundary Γ and the initial data E0 and H0.

We establish the existence and uniqueness of a weak solution in a suitable function space under the minimal regularity assumptions on the boundary Γ and the initial data H0.

In this paper, continuity of the Bessel wavelet transform of a suitable function ϕ in terms of an appropriate mother wavelet ψ is investigated on certain Beurling-type function spaces.

Starting from a nonlinear, physics-based model developed in the authors' previous works, a suitable function is initially proposed to quantify the overall electro-mechanical energy in the system.

Let be a suitable function.

Let and be a suitable function.

However, it is motivated by seeking reductions in a suitable potential function as in projective algorithms, and the approximate centering is an automatic byproduct of our choice of potential function.

The existence and uniqueness of a solution in suitable function spaces is established under minimal regularity assumptions on the data.

The appropriate treatment of boundary conditions is obtained by the requirement that the spatial differential operator has to satisfy a Gårding-type inequality in suitable function spaces.

In this paper we use the functional analysis method based on the theory of analytic semigroups to prove that this problem has a unique local solution in suitable function spaces.

Applying a similar argument used in the proof of Theorem 3.1, the limit v of the sequence ({v_{m}}) in suitable function spaces, is a unique weak solution of Problem (3.1) satisfying (3.5).