Výsledky vyhledávání - "accretive operator"

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A quadrature scheme for steady-state diffusion equations involving fractional power of regularly accretive operator

Autor: Duan, Beiping, Yang, Zongze

In this paper, we construct a quadrature scheme to numerically solve the nonlocal diffusion equation $(\mathcal{A}^\alpha+b\mathcal{I})u=f$ with $\mathcal{A}^\alpha$ the $\alpha$-th power of the regularly accretive operator $\mathcal{A}$. Rigorous er

Externí odkaz: http://arxiv.org/abs/2304.05848

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A proof-theoretic metatheorem for nonlinear semigroups generated by an accretive operator and applications

Autor: Pischke, Nicholas

We further develop the theoretical framework of proof mining, a program in mathematical logic that seeks to quantify and extract computational information from prima facie `non-computational' proofs from the mainstream literature. To that end, we est

Externí odkaz: http://arxiv.org/abs/2304.01723

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An accretive operator approach to ergodic zero-sum stochastic games

Autor: Hochart, Antoine

We study some ergodicity property of zero-sum stochastic games with a finite state space and possibly unbounded payoffs. We formulate this property in operator-theoretical terms, involving the solvability of an optimality equation for the Shapley ope

Externí odkaz: http://arxiv.org/abs/1708.05632

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An Accretive Operator Approach to Ergodic Problems for Zero-Sum Games

Autor: Hochart, Antoine

Mean payoff stochastic games can be studied by means of a nonlinear spectral problem involving the Shapley operator: the ergodic equation. A solution consists in a scalar, called the ergodic constant, and a vector, called bias. The existence of such

Externí odkaz: http://arxiv.org/abs/1605.04520

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