Sentence examples for boundary data on a from inspiring English sources

In this case that central task is to compute the amplitude for going from an initial state to a final state (where these states will be given in terms of boundary data on a pair of initial and final hypersurfaces).

We show that if the boundary data on X converges, there exists a unique (C overline {Omega}))-solution.

This in turn enables us to obtain a-priori estimates for the solutions of a family of higher order equations with Navier boundary data on either bounded domains in Rn or on Riemannian manifolds with boundaries.

However, in some practical problems, the boundary data on the whole boundary cannot be obtained.

Also it is interesting to study the influence of the boundary data on the qualitative properties of the solution.

Because of changing boundaries, data on deprivation status was not available for two PCTs.

In one of these problems the solution of an initial/boundary value problem depends on the boundary data in a discontinuous, fractal, manner.

We study the inverse problems for the second order hyperbolic equations of general form with time-dependent coefficients assuming that the boundary data are given on a part of the boundary.

We may express the domain convexity hypotheses in Theorem 3.1 in terms of boundary data depending on the solution u or more specifically, as in [10], intervals containing the range of u.

This reduced limit has the remarkable property that it does not depend on the boundary data, but only on (μk) and on g.

Franco and O'Regan, by avoiding some monotonicity assumptions on the boundary data, introduce in [47] a new definition of coupled lower and upper solutions for the boundary value conditions (2.9).