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Applied Mathematics Letters, ISSN 0893-9659, 02/2016, Volume 52, pp. 212 - 219
This note considers the hyper-contractivity and the uniqueness of the weak solutions to the two dimensional Keller–Segel equations. We prove a refined... 
[formula omitted] space | Semi-group theory | Hyper-contractivity | Uniqueness | MATHEMATICS, APPLIED | 2-DIMENSIONAL NAVIER-STOKES | CRITICAL MASS | DEGENERATE | L log L space | MODEL | WEAK SOLUTIONS | GLOBAL-SOLUTIONS | EULER EQUATIONS
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 12/2016, Volume 66, Issue 6, pp. 1427 - 1442
The main aim of this paper is to present some theorems in order to guarantee existence and uniqueness of best proximity points under rational contractivity... 
47H10 | Primary 46T99 | fixed point | 47H09 | property | best proximity point | rational contractive condition | 54H25 | weak | weak P-property | P-property | MATHEMATICS | THEOREMS | FIXED-POINT | CONVERGENCE
Journal Article
Demonstratio Mathematica, ISSN 0420-1213, 06/2013, Volume 46, Issue 2, pp. 373 - 382
Journal Article
Electronic Communications in Probability, ISSN 1083-589X, 01/2018, Volume 23
A Lindley process arises from classical studies in queueing theory and it usually reflects waiting times of customers in single server models. In this note we... 
Lindley process | Local contractivity | Stable process | Random walk | Ladder epoch | stable process | random walk | RANDOM-WALKS | STATISTICS & PROBABILITY | ladder epoch | STOCHASTIC DYNAMICAL-SYSTEMS | WEAK CONTRACTIVITY | local contractivity
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2017, Volume 451, Issue 1, pp. 544 - 564
The subnormality of a Hilbert space operator may be characterized either by the Bram–Halmos conditions (positivity of certain operator matrices) or the... 
k-hyponormality | Weighted shift | Subnormality | Weak subnormalities | n-contractivity | MATHEMATICS | MATHEMATICS, APPLIED | GENERATED WEIGHTED SHIFTS | N-HYPERCONTRACTIVE OPERATORS | SUBNORMAL COMPLETION PROBLEM | HYPEREXPANSIVE OPERATORS
Journal Article
The Annals of Probability, ISSN 0091-1798, 5/2015, Volume 43, Issue 3, pp. 1456 - 1492
We consider stochastic dynamical systems on ℝ, that is, random processes defined by $X_{n}^{x}=\Psi_{n}(X_{n-1}^{x})$, $X_{0}^{x}=x$, where Ψn are i.i.d.... 
Reflected random walk | Stochastic dynamical system | Poisson equation | Affine recursion | Stochastic recurrence equation | Invariant measure | EQUATION X-N | stochastic dynamical system | RANDOM-WALKS | affine recursion | LIMIT-THEOREM | RECURSIONS | invariant measure | STATISTICS & PROBABILITY | reflected random walk | WEAK CONTRACTIVITY | 60B15 | 60K05 | 60J05 | 37Hxx
Journal Article
Journal of Nonlinear and Convex Analysis, ISSN 1345-4773, 2015, Volume 16, Issue 3, pp. 529 - 538
The main purpose of this paper is to present a best proximity point theorem. The novelty of the result is that assumption relative to the contractivity... 
P-property | Best proximity point | Weak p-property | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | THEOREMS | weak P-property | CONVERGENCE
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2019, Volume 475, Issue 2, pp. 1304 - 1316
We present a new sufficient condition for existence of semiattractors for set-valued semiflows of state multifunctions associated with general cocycle... 
Iterated function system | Weak contractivity | Topological limit | Fibers of semiattractor | Cocycle | Semiattractor | MATHEMATICS | ATTRACTORS | MATHEMATICS, APPLIED | FAMILIES | MARKOV OPERATORS
Journal Article
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, ISSN 1980-0436, 2013, Volume 10, Issue 2, pp. 591 - 607
In this article we refine well-known results concerning the fluctuations of one-dimensional random walks. More precisely, if (S-n)(n)>= 0 is a random walk... 
Fluctuations | Hitting times | Wiener-Hopf factorization | Random walk on R | STATISTICS & PROBABILITY | STOCHASTIC DYNAMICAL-SYSTEMS | WEAK CONTRACTIVITY
Journal Article
Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 9/2016, Volume 18, Issue 3, pp. 627 - 643
Using fixed point theory, we present a sufficient condition for the existence of a positive definite solution of the nonlinear matrix equation $${X = Q \pm... 
weak contraction | G -metric space | Mathematics | lower semicontinuous function | Mathematical Methods in Physics | 47H10 | partially ordered set | 15A24 | fixed point | Analysis | 47H09 | Mathematics, general | Matrix equation | METRIC SPACES | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREM | G-metric space | Questions and answers
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2019, Volume 267, Issue 12, pp. 7002 - 7046
In this paper a fluid-structure interaction problem for incompressible Newtonian fluids is studied. We prove the convergence of an iterative process with... 
Continuous dependence on data | Incompressible Newtonian fluid | Fixed point iterations | Hemodynamics | Fluid-structure interaction | EXISTENCE | MATHEMATICS | UNSTEADY INTERACTION | DOMAIN | NAVIER-STOKES EQUATIONS | WEAK SOLUTIONS | VISCOUS-FLUID
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 02/2019, Volume 266, Issue 4, pp. 2142 - 2174
In this paper we rigorously justify the propagation of chaos for the parabolic–elliptic Keller–Segel equation over bounded convex domains. The boundary... 
Newtonian potential | Chemotaxis | Mean-field limit | Coupling method | Uniqueness | Wasserstein metric | SYSTEM | STOCHASTIC DIFFERENTIAL-EQUATIONS | WELL-POSEDNESS | MODEL | MATHEMATICS | PARTICLE BLOB METHOD | DEGENERATE | WEAK SOLUTIONS | AGGREGATION
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 12/2016, Volume 67, Issue 6, pp. 1 - 29
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 1996, Volume 65, Issue 2, pp. 147 - 170
We propose two general methods for coupling marked point processes (MPPs) on the real half-line that are explicitly formulated in terms of (canonical)... 
60G55 | Marked point process | Coupling | Weak ergodicity | Compensator | coupling | marked point process | weak ergodicity | STATISTICS & PROBABILITY | POINT-PROCESSES | TIME | compensator | K XY STATISTICS & PROBABILITY | Coupling Marked point process Compensator Weak ergodicity
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 2006, Volume 86, Issue 1, pp. 42 - 67
A potential theoretic comparison technique is developed, which yields the conjectured optimal rate of convergence as t → ∞ for solutions of the fast diffusion... 
Moments | Large time convergence rate | Newtonian potential | Fast nonlinear diffusion | SINGULAR DIFFUSION | MATHEMATICS, APPLIED | CAUCHY-PROBLEM | EVOLUTION-EQUATIONS | fast nonlinear diffusion | large time convergence rate | C-INFINITY-REGULARITY | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | SELF-SIMILARITY | moments | POROUS-MEDIUM EQUATION | SCALAR CONSERVATION-LAWS | GAS | WEAK SOLUTIONS
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 10/2003, Volume 23, Issue 4, pp. 593 - 626
Journal Article
Potential Analysis, ISSN 0926-2601, 8/2015, Volume 43, Issue 2, pp. 241 - 267
Journal Article
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, ISSN 1432-2994, 04/2020, Volume 91, Issue 2, pp. 201 - 240
The Douglas-Rachford algorithm is an optimization method that can be used for solving feasibility problems. To apply the method, it is necessary that the... 
Douglas-Rachford | PROJECTION | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PHASE RETRIEVAL | Projection methods | WEAK-CONVERGENCE | Eight queens problem | POINT | Feasibility problem | LINEAR CONVERGENCE | ASYMPTOTIC-BEHAVIOR | Problems | Feasibility | Algorithms | Combinatorial analysis | Optimization | Convergence
Journal Article
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