Sentence examples for coercive boundary from inspiring English sources

Our work is devoted to the investigation of spectral theory for symmetric systems with certain coercive boundary conditions in an exterior domain; we verify the discreteness of non-zero eigenvalues and the principle of limiting absorption.

In Section 3, applications of Theorem 2.1 to the study of the coercive stability of initial-boundary value problem for delay parabolic equations are given.

Machiavelli has also been credited (most recently by Skinner 1978) with formulating for the first time the "modern concept of the state," understood in the broadly Weberian sense of an impersonal form of rule possessing a monopoly of coercive authority within a set territorial boundary.

The obtained adjoint boundary value problem is not coercive and, hence, it may admit infinitely many solutions.

The second option coming from the approach of Casas and Fernández is the fact that the linear elliptic equation for the adjoint state is not coercive in general and, hence, the adjoint boundary value problem may admit infinitely many solutions.

The role played by coercive inequalities in the study of local boundary-value problems for elliptic differential equations is well known [17].

Sometimes the interactions between agents in a sub-legal context will overstep the boundaries between the voluntary and coercive, and thus render the actions of one party non-voluntary.

The role played by coercive stability inequalities (well-posedness) in the study of boundary value problems for parabolic partial differential equations is well known (see, e.g., [44 51]).

The well-posedness in C ( E ) of boundary value problem (2) means that the coercive inequality ∥ u ′ ∥ C ( E ) + ∥ A u ∥ C ( E ) ≤ M ∥ f ∥ C ( E ) (5). is true for its solution u ( t ) ∈ C ( E ).

Note that these abstract results are applicable to the study of the coercive stability of various delay parabolic equations with local and nonlocal boundary conditions with respect to the space variables.

In Section 3, the coercive stability estimates in Hölder norms for the solutions of the initial-boundary value problem for delay parabolic equations are obtained.