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By [23], Section 1.14], Q t is a generator of an analytic semigroup in F.
It is established that the corresponding convolution-elliptic operator is positive and is also a generator of an analytic semigroup.
It is implies that this operator is positive and also is a generator of an analytic semigroup.
It is obtained that the corresponding convolution-elliptic operator is positive and also is a generator of an analytic semigroup.
where is a generator of an analytic semigroup on a Banach space such that for all and for every and.
where,, is a phase space that will be defined later (see Definition 2.5). is a generator of an analytic semigroup of uniformly bounded linear operators on.
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Note that, in general, if ℛ is a generator of a stochastic order and g and f are ⪯-comonotonic functions for all f ∈ R, g is not necessarily an element of ℛ.
Let L be a generator of a strongly continuous semigroup Φ ( t ).
then is a generator of a solution operator, which is given by (2.6).
Hence is a generator of a solution operator satisfying the estimate (2.7) on.
Porosity affects the magnetization process because the pores work as a generator of a demagnetizing field.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com