Limit Case: The L ∞ Problem
(1)AN EXISTENCE RESULT FOR A NONLINEAR PROBLEM IN A LIMIT CASE FRANCESCO CHIACCHIO In this paper we study the problem (1) in the limit case p = N
... study problem (1) in the case p = N and we prove that it admits at least a solution if the source terms ( f and g) satisfy a suitable smallness ...approximate problem (see [4][9]), labeled by ε, ...
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The Classical Limit of the Quantum Kepler Problem
... the case of relativ- ity compared with Newton’s theory, and both share an essential physical framework, a purely mathematical re- duction of the more general theory to the restricted one is generally ...the ...
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Problem A AND Permutation Time Limit: 2 second(s) Memory Limit: 2G
... Define a Ketek to be a sentence that reads the same forwards and backwards, by word. For example, ‘fall leaves after leaves fall’ is a Ketek since the words in reverse order are the same as the original order. Given a ...
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Concentration estimates and the central limit problem for convex bodies
... our case ^^ 1 = ^ 2 = [0,1]” and our m easures will be th e Lebesgue measure on th e cube itself and a weighted Lebesgue m easure on one of its subsets, so we can work w ith a tra n sp o rt function, ...
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Rigorous continuum limit for the discrete network formation problem
... the limit will depend on the structural and statistical properties of the graph sequence (connectivity, edge directions and density ...minimization problem for (1.3)-(1.4) in the one-dimensional case ...
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LIMIT DISTRIBUTIONS OF SOME STEREOLOGICAL ESTIMATORS IN WICKSELL'S CORPUSCLE PROBLEM
... THE CASE d – s > 2 Of course, the previous cases are of particular interest in stereological practice for d = 3, s = 2, d = 2, s = 1 and d = 3, s = ...the case d − s > ...
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Rate of escape and central limit theorem for the supercritical Lamperti problem
... the case where µ 1 (x ) is of order x − β for some β ∈ (0, ...the case where x β µ 1 (x) has a finite positive limit, our results imply a strong law of large numbers, which strengthens and ...
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Stochastic evolution as a quasiclassical limit of a boundary value problem for Schrödinger equations
... the case of evolutions in coloured ...value problem for shifts in coloured simplices (considered at the beginning) is given by the secondly quantised operators in multiple Fock spaces, which in their turn, ...
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Half-linear eigenvalue problem: Limit behavior of the first eigenvalue for shrinking interval
... limit behavior is, in a certain sense, the same as for an eigenvalue problem when boundary conditions () are associated with an equation with constant coefficients. The investigation of half-linear ...
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Limit Cycles of a Class of Hilbert's Sixteenth Problem Presented by Fractional Differential Equations
... this case, as we can see in Figure 2, the limit cycle is ...a limit cycle for the system ...these limit cycles exist for different values of α ∈ ...these limit cycles we may apply ...
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ON STOCHASTIC SCHRÖDINGER EQUATION AS A DIRAC BOUNDARY-VALUE PROBLEM, AND AN INDUCTIVE STOCHASTIC LIMIT.
... this problem corresponding to the free hamiltonian h (p) = ...the case of commuting operator-valued coe¢ cients of the ...relativistic limit on a union of Hardy class Hilbert spaces. We call this ...
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Semiclassical limit of the focusing NLS: Whitham equations and the Riemann-Hilbert Problem approach
... The paper is organized as follows. In Sections 2, 3 we present the general Whitham theory approach and the RHP approach respectively, as applied to semi- classical fNLS. These two approaches are compared in the ...
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Continuum limit of the nonlocal p-Laplacian evolution problem on random inhomogeneous graphs
... continuum limit with a controlled (high) ...the case of random graph models generated by a deterministic sequence of ...continuum problem as the number of vertices n ...Lip(s, L q (Ω 2 )) and ...
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An Improved Method of Genetic Algorithm to Solve the Variable Speed Limit Problem with Constraint Conditions
... same problem when doing the mutation operation, which is not only to satisfy the exchange but also to satisfy the ...this case, it is needed to change the new exchange elements to match the original ...
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Case of Ultimate Limit State Design and Eurocode 7-1
... ULTIMATE LIMIT STATE THEORY Long-term research on the theory of the ULSD has been in progress in the EU simultaneously with a draft and acceptation process of EC ...the problem of matter was not entirely ...
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Regulating to Limit Access to Child Pornography on the Internet: a multiple-case study
... major problem that regulators had to face in relation to limiting the access to child pornographic content until the mid-2005 has been the availability of this material in commercial and non-commercial websites ...
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Almost sure limit theorems on Wiener chaos: the non-central case
... sure limit theorem to the previous two convergences in law (i) and (ii)? This problem is actually not new, and has been first considered almost one decade ...the case H ∈ (1 − 2q 1 , 1)? A solution to ...
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Perturbation Results of Limit point case and Limit circle case of Sturm-Liouville Differential Operators
... perturbation limit point case (limit circle case) for the Sturm-Liouville differential operator at a singular point remains ...: limit point case, limit circle ...
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Limit of the Solution of a PDE in the Degenerate Case
... Pardoux, “Homogenization of Linear and Semilinear Second Order Parabolic PDEs with Periodic Coefficients: A Probabilistic Approch,” Journal of Functional Analysis , Vol. Pardoux, “BS[r] ...
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L S Penrose's Limit Theorem: Tests by Simulation
... Our data show that this is indeed the case. However, we wish to point out an additional interesting phenomenon concerning the dependence on n of the the mean discrepancy between φ and w. For every fixed value of n ...
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