Results 331 to 340 of about 1,083,140 (374)

Resolvent of Non-selfadjoint Differential Operators Using M-Sectorial Operators

Bulletin of the Iranian Mathematical Society, 2020
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Nasiri, Leila, Sameripour, Ali
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A Characterization of Periodic Resolvent Operators

Results in Mathematics, 1990
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Pettis integral operators and resolvents

Integral Equations and Operator Theory, 1986
The present paper develops a theme outlined in a previous article, ibid. 654-678 (1986; review above). A calculus is defined for a class of Pettis integrals of operator valued functions, turning it into an algebra of operators on \(L^ p({\mathbb{R}}^ d)\).
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M-Accretive Operators with M-Dispersive Resolvents

Proceedings of the American Mathematical Society, 1984
Summary: We characterize linear m-accretive operators with m-dispersive resolvents. T is linear and m-accretive, with \((\lambda +T)^{-i}\) m- dispersive, if and only if the sequence \(^{\infty}_{n=0}\) equals the moments of a positive measure on the positive real line, for sufficiently many \(\phi\) in \(X^*\), x in X.
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Regularized Resolvent of Sums of Commuting Operators

Acta Mathematica Hungarica, 2001
For \(B_1\) and \(B_2\) two commuting linear (not necessarily bounded) operators on a Banach space, the question of when \((B_1-B_2)\) has a bounded inverse on \(X\) is of interest. For example, consider the abstract Cauchy problem \[ {{d}\over{dt}}u(t)= A(u(t))+ f(t) \qquad (0\leq t\leq T), \] where \(A\) is a linear operator on a Banach space \(W\), \
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Ergodicity and stability for (b, l)-regularized resolvent operator families

Annals of Functional Analysis, 2020
Lizhen Chen, Z. Fan, Fei Wang
semanticscholar   +1 more source

OPERATOR-VALUED PSEUDODIFFERENTIAL OPERATORS AND THE RESOLVENT OF A DEGENERATE ELLIPTIC OPERATOR

Mathematics of the USSR-Sbornik, 1984
Let Y be a smooth manifold with boundary X. Let A be an elliptic differential operator of order \(2\ell\) degenerated on X. The author constructs the parametrix for the Dirichlet problem using operator-valued pseudo-differential operators.
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Approximate controllability for finite delay nonlocal neutral integro-differential equations using resolvent operator theory

, 2020
K. Jeet
semanticscholar   +1 more source

Resolvent and Semigroup Differences for Feller Operators: Operator Norms

2000
In section A of this chapter we give some weighted norm estimates for differences of Feynman-Kac semigroups. In section B we shall state and prove some general representations for (differences of) singularly perturbed Feynman-Kac semigroups and resolvent families.
Michael Demuth, Jan A. van Casteren
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Learning the solution operator of parametric partial differential equations with physics-informed DeepONets

Science Advances, 2021
Sifan Wang, Hanwen Wang
exaly