Results 301 to 310 of about 31,293 (331)

Resolvents of Monotone Operators

2011
Two quite useful single-valued, Lipschitz continuous operators can be associated with a monotone operator, namely its resolvent and its Yosida approximation. This chapter is devoted to the investigation of these operators. It exemplifies the tight interplay between firmly nonexpansive mappings and monotone operators.
Heinz H. Bauschke, Patrick L. Combettes
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Approximation processes for resolvent operators

Calcolo, 2008
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CAMPITI, Michele, TACELLI, CRISTIAN
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Strong Resolvent Convergence of Diffusion Operators

SIAM Journal on Mathematical Analysis, 1985
Summary: It is shown that differential operators arising from boundary value problems with eigenvalue parameter in the boundary condition occur as the limits, in the sense of a generalized notion of strong resolvent convergence, of families of Sturm-Liouville operators modeling heat flow in a rod, where the diffusion coefficient becomes arbitrarily ...
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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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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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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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