Sentence examples for operators associated with from inspiring English sources

For instance, Fang and Huang [5] introduced the class of -monotone operators and defined the associated resolvent operators, which extended the resolvent operators associated with -subdifferential operators of Ding and Luo [3] and maximal -monotone operators of Huang and Fang [6], respectively.

Operators associated with polynomials orthogonal on the unit circle and their doubly infinite analogs are considered.

In this paper we present a new method in order to transfer boundedness results for operators associated with Hermite functions to boundedness results for operators associated with Laguerre functions.

This class is formed by the Dirichlet operators associated with energy forms of Gibbs measures on compact Riemannian manifolds with a finite radius of interaction.

In particular, we characterize the Hermite semi-group as the family of Centered Gaussian Operators associated with any semi-group of operators.

We propose a probabilistic definition of solutions of semilinear elliptic equations with (possibly nonlocal) operators associated with regular Dirichlet forms and with measure data.

We give sufficient conditions for essential self-adjointness of symmetric differential operators (Dirichlet operators) associated with classical Dirichlet forms given by probability measures on Hilbert spaces.

We find the sharp range of boundedness for transplantation operators associated with Laguerre function expansions in Lp spaces with power weights.

In the second part we study the Cauchy problem for semilinear parabolic equations with measure data involving operators associated with time-dependent forms.

We prove existence of wave operators in lower order Sobolev spaces by using estimates of bilinear operators associated with Klein Gordon equation.

Combining these equations leads to a single integral equation which contains, on the one hand, modified Green operators associated with elastic and viscoplastic reference homogeneous media, and secondly, elastic and viscoplastic fluctuations.