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368
Classical Solutions of MultiDimensional HeleShaw Models
, 1997
"... . Existence and uniqueness of classical solutions for the multidimensional expanding HeleShaw problem is proved. Key words. Classical solutions, HeleShaw model, moving boundary problem, maximal regularity. AMS subject classifications. 35R35, 35K55, 35S30, 76D99. 1. The problem. We are concern ..."
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Cited by 33 (7 self)
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. Existence and uniqueness of classical solutions for the multidimensional expanding HeleShaw problem is proved. Key words. Classical solutions, HeleShaw model, moving boundary problem, maximal regularity. AMS subject classifications. 35R35, 35K55, 35S30, 76D99. 1. The problem. We
ON A TAUBERIAN CONDITION FOR BOUNDED LINEAR OPERATORS
, 2004
"... ematics Research Reports A468 (2004). Abstract: We study the relation between the growth of sequences kT nk and k(n + 1)(I ¡ T)T nk for operators T 2 L(X) satisfying weak variants of the Ritt resolvent condition k(¸ ¡ T)¡1k · C j¸¡1j for various sets of j¸j> 1. AMS subject classi¯cations: 47A10, ..."
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ematics Research Reports A468 (2004). Abstract: We study the relation between the growth of sequences kT nk and k(n + 1)(I ¡ T)T nk for operators T 2 L(X) satisfying weak variants of the Ritt resolvent condition k(¸ ¡ T)¡1k · C j¸¡1j for various sets of j¸j> 1. AMS subject classi¯cations: 47A10
A linear bound on the diameter of the transportation polytope
"... We prove that the combinatorial diameter of the skeleton of the polytope of feasible solutions of any m × n transportation problem is at most 8(m + n − 2). The transportation problem ( TP) is a classic problem in operations research. The problem was posed for the first time by Hitchcock in 1941 [9] ..."
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Cited by 13 (1 self)
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famous conjecture (cf. [5]) saying that any ddimensional polytope with n facets has diameter at most n − d. So far the best known bound for arbitrary polytopes is O(n log d+1) [10]. Any polynomial bound is still lacking. Such bounds have been proved for some special classes of polytopes ( for examples
Classical and Quantum Scattering for a Class of Long Range Random Potentials
, 2001
"... this paper we prove existence of modi ed wave operators, with probability one, for the family of random operators on L ), d 2, H = 1 4 V (1.1) where x n jnj (1.2) with uniformly bounded independent ! n with mean 0, and > 2 . The most important example are Bernoulli variables ..."
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Cited by 21 (1 self)
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this paper we prove existence of modi ed wave operators, with probability one, for the family of random operators on L ), d 2, H = 1 4 V (1.1) where x n jnj (1.2) with uniformly bounded independent ! n with mean 0, and > 2 . The most important example are Bernoulli variables
Bounding Zeros of H² Functions via Concentrations
, 1994
"... . It is wellknown that the zeros fz j g of a function in the classical Hardy space H 2 satisfy P 1 \Gamma jz j j ! 1 ; however, this sum can be arbitrarily large. We shall bound this sum by a constant that depends on the concentration of the function, a concept introduced by Beauzamy and Enflo. ..."
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. It is wellknown that the zeros fz j g of a function in the classical Hardy space H 2 satisfy P 1 \Gamma jz j j ! 1 ; however, this sum can be arbitrarily large. We shall bound this sum by a constant that depends on the concentration of the function, a concept introduced by Beauzamy and Enflo
A spinconformal lower bound of the first positive Dirac eigenvalue
, 2000
"... Let D be the Dirac operator on a compact spin manifold M . Assume that 0 is in the spectrum of D. We prove the existence of a lower bound on the rst positive eigenvalue of D depending only on the spin structure and the conformal type. Keywords: Dirac operator, rst positive eigenvalue, conformal met ..."
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Cited by 15 (9 self)
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Let D be the Dirac operator on a compact spin manifold M . Assume that 0 is in the spectrum of D. We prove the existence of a lower bound on the rst positive eigenvalue of D depending only on the spin structure and the conformal type. Keywords: Dirac operator, rst positive eigenvalue, conformal
Lower Bounds for Norms of Inverses of Interpolation Matrices for Radial Basis Functions
, 1994
"... : Interpolation of scattered data at distinct points x 1 ; . . . ; x n 2 IR d by linear combinations of translates \Phi(kx \Gamma x j k 2 ) of a radial basis function \Phi : IR 0 ! IR requires the solution of a linear system with the n by n distance matrix A := (\Phi(kx i \Gamma x j k 2 ). Recent ..."
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Cited by 13 (5 self)
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: Interpolation of scattered data at distinct points x 1 ; . . . ; x n 2 IR d by linear combinations of translates \Phi(kx \Gamma x j k 2 ) of a radial basis function \Phi : IR 0 ! IR requires the solution of a linear system with the n by n distance matrix A := (\Phi(kx i \Gamma x j k 2 ). Recent
An abstract domain extending DifferenceBound Matrices with disequality constraints
 8th International Conference on Verification, Modelchecking, and Abstract Intepretation, VMCAI’07
, 2007
"... Abstract. Knowing that two numerical variables always hold different values, at some point of a program, can be very useful, especially for analyzing aliases: if i 6 = j, then A[i] and A[j] are not aliased, and this knowledge is of great help for many other program analyses. Surprisingly, disequalit ..."
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Cited by 9 (2 self)
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Abstract. Knowing that two numerical variables always hold different values, at some point of a program, can be very useful, especially for analyzing aliases: if i 6 = j, then A[i] and A[j] are not aliased, and this knowledge is of great help for many other program analyses. Surprisingly
ON CLASSICAL SOLVABILITY OF THE FIRST INITIALBOUNDARY VALUE PROBLEM FOR EQUATIONS GENERATED BY CURVATURES
"... The aim of this paper is to prove the existence theorem announced in [5]. The proof is based on á priori estimates which were done in [6]–[8] for solutions to equations including the equations from [5]. We have to add to these estimates the estimates of Hölder constants for ut and uxixj. Section 2 i ..."
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is devoted to this purpose. We study the problems (1.1) Mm[u] = 3D − ut √ + fm(k[u]) = 3Dg in QT = 3DΩ × (0, T), 1 + u2 x (1.2) u = 3Dϕ on ∂ ′ QT, m ∈ [2, n], where Ω is a bounded domain in R n with a smooth boundary ∂Ω, ∂ ′ QT = 3D ∂ ′ ′ QT ∪ Ω(0), ∂ ′ ′ QT = 3D∂Ω × [0, T], Ω(0) = 3D{z = 3D(x, t
Bounds on Conditional Probabilities with Applications in MultiUser Communication
, 1976
"... We consider a sequence {Zg}i ~ 1 of independent, identically distributed random variables where each Z i is a pair (Xi, Y/). For any pair of events {X" ~ ~r { Y" ~ N} satisfying Pr(Y " e NIX " s d)> 1 ~ and for any nonnegative real c we investigate how small Pr(Y"~) can ..."
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We consider a sequence {Zg}i ~ 1 of independent, identically distributed random variables where each Z i is a pair (Xi, Y/). For any pair of events {X" ~ ~r { Y" ~ N} satisfying Pr(Y " e NIX " s d)> 1 ~ and for any nonnegative real c we investigate how small Pr
Results 1  10
of
368