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Titlebook: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains; Volume I Vladimir Maz’ya,Serguei Nazarov,Boris A. Pl

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发表于 2025-3-28 15:06:00 | 显示全部楼层
Sequent Calculus in the Topos of Treesolutions to boundary value problems involving the Laplace operator in domains with small variations of the boundary. On the other hand, this chapter illustrates the general theory of elliptic boundary value problems in domains with cone vertices, which is briefly presented in Chapter 3. (Therefore w
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An Infinitary Model of Linear Logic the same problems as in the first chapter, but now the boundaries of the domains depend also on a small parameter ε. This dependence is such that the limit boundary (i.e. that for ε = 0) is not smooth; it contains isolated points or vertices of sectors or cones.
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Michael A. Bukatin,Svetlana Yu. Shorinaf the boundaries, after that we study the asymptotics of the solutions of boundary value problems in domains that are perturbed near such singularities. However, in contrast to the first part we consider here general elliptic boundary value problems. The reader who is interested only in concrete pro
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Pumping Lemmas for timed automata,ingular perturbation of the limit domain Ω whose boundary contains a finite number of cone vertices. The complete asymptotic expansions will be constructed and justified. The present chapter provides the basis for further study of special singularly perturbed boundary value problems. The general res
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Equational Properties of Mobile Ambients, conic points were found in Chapters 2, 4 and 5. Now we use the general methodology developed in Chapter 4 to determine the asymptotic behaviour of certain functionals on solutions in the neighborhood of conic points that are close to each other.
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