Sentence examples for the limit operator from inspiring English sources

denotes the limit operator.

The result for the limit operator (bar{L}_{0,A} ) is well known and contained for example in [11].

We consider the system (1.1) in the case of identical non-invertibility of the limit operator A ( t ).

If (( T_{n} ) ) is uniformly operator convergent, say, if (Vert T_{n}-T Vert rightarrow0), then the limit operator T is compact.

In [27], new estimates uniform in (epsilon ) have been provided, in the time independent setting which are optimal with respect to the decay of the limit operator.

The properties of the limiting operator according to the entropy-minimum principle are proofed, and an optimal CFL-criterion is derived.

The limiting operator (R'(g)) is independent of the sequence ({ x_n },).

The most basic result for elliptic operators of this type is the inheritance of invertibility from the limiting operators.

Using this lemma along with the semigroup property, we now show that the limiting operators exist and are well-defined.

We then establish uniform resolvent convergence of a sequence of Dirichlet-to-Neumann operators whenever the underlying coefficients converge uniformly and the second-order limit operator in L2 has the unique continuation property.

Clearly, coefficients of differential operator stabilize for, and the limit differential operator of (denoted by for convenience) is.