Sentence examples for be a sectorial linear from inspiring English sources

Let (mathcal{T}) be a sectorial linear relation in a Hilbert space ℋ.

Let (mathcal{T}) be a sectorial linear relation in ℋ and let (u,v in D mathcal{T})).

Let (mathcal{T}) be a sectorial linear relation in a Hilbert space ℋ with domain (D mathcal{T})).

Let (mathcal{T}) be a sectorial linear relation in a Hilbert space ℋ with domain (D mathcal{T})), and let (x,yin D mathcal{T})).

Theorem 4.2 implies that (4.15) and (4.16) cannot hold simultaneously since (widetilde{mathcal{T}}) is assumed to be a sectorial linear relation.

Let (mathcal{T}) be a sectorial linear relation in a Hilbert space ℋ and assume that there exists a sectorial operator A in ℋ with (D(A)=D mathcal{T})) and (R(A) subsetoverline {D(A)}) such that mathcal{T}(x) = overline{D mathcal{T})}^{perp}+ Ax (4.5) for all (xin D mathcal{T})=D(A)).

where is a sectorial linear operator on a Banach space whose corresponding analytic semigroup is hyperbolic; that is, the operator are arbitrary linear (possibly unbounded) operators on, and are -pseudo almost automorphic for and jointly continuous functions.

(2.10) where (X_{1}), X are Banach spaces, (X_{1}subset X) is a dense inclusion, (L X_{1}rightarrow X) is a sectorial linear operator, and (T:X_{1}rightarrow X) is a nonlinear bounded operator.

On the other hand, when the operator in the linear part is an almost sectorial operator, for which the resolvent operators do not satisfy the required estimate to be a sectorial operator (see the example of almost sectorial operators which are not sectorial given by von Wahl in [16]), much less is known about the fractional evolution equations of neutral type with almost sectorial operators.

Let A be a sectorial operator of type ((M,theta,q,mu)).

Let A be a sectorial operator in a Hilbert space ℋ.