DSpace Community: 2015
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Bi-Characteristic Curves of Body and Surface Waves and Application in Geophysics
http://hdl.handle.net/10525/3487
Title: Bi-Characteristic Curves of Body and Surface Waves and Application in Geophysics<br/><br/>Authors: Boyadzhiev, Georgi<br/><br/>Abstract: In this paper is given a new approach to 3D modelling of elastic piecewise homogeneous media, in particular Earth crust and upper Mantle. The method is based on the principle of tomography with Earthquake as a source of the signal and at least three receiver stations on the surface. The wave propagation in such media is described by a system of three strongly coupled hyperbolic equations with piece-wise constant coefficients. The characteristic set and bi-characteristic curves are computed in a homogeneous half-space with free boundary as well as the formulae of reflection and diffraction of the bi-characteristics on the internal boundaries of the media. Applications of the characteristic set and bi-characteristic curves for the inverse problem in geophysics and Earth modelling are given. 2010 Mathematics Subject Classification: 35L53, 35Q86, 86A15.<br/><br/>Description: [Boyadzhiev Georgi; Бояджиев Георги]Thu, 01 Jan 2015 00:00:00 GMTHardy-Type Inequalities with Weights
http://hdl.handle.net/10525/3486
Title: Hardy-Type Inequalities with Weights<br/><br/>Authors: Fabricant, Alexander; Kutev, Nikolai; Rangelov, Tsviatko<br/><br/>Abstract: Hardy-type inequality with weights is derived in abstract form. Particular cases are presented to demonstrate the applicability of the method and to show generalizations of existing results. Sharpness of inequalities is proved and the results are illustrated with several examples. 2010 Mathematics Subject Classification: 26D10.<br/><br/>Description: [Fabricant Alexander; Фабрикант Александър]; [Kutev Nikolai; Кутев Николай]; [Rangelov Tsviatko; Рангелов Цвятко]Thu, 01 Jan 2015 00:00:00 GMTFinite Time Blow up of the Solutions to Nonlinear Klein-Gordon Equation with Arbitrary High Positive Initial Energy
http://hdl.handle.net/10525/3485
Title: Finite Time Blow up of the Solutions to Nonlinear Klein-Gordon Equation with Arbitrary High Positive Initial Energy<br/><br/>Authors: Kutev, N.; Kolkovska, N.; Dimova, M.<br/><br/>Abstract: 2010 Mathematics Subject Classification: 35L05, 35L15.<br/><br/>Description: [Kutev N.; Кутев Н.]; [Kolkovska N.; Колковска Н.]; [Dimova M.; Димова М.]Thu, 01 Jan 2015 00:00:00 GMTMean Value Theorems for Analytic Functions
http://hdl.handle.net/10525/3484
Title: Mean Value Theorems for Analytic Functions<br/><br/>Authors: Markov, Lubomir<br/><br/>Abstract: We prove a sharper Evard-Jafari Theorem, various mean value theorems, and an improved version of the Davitt-Powers-Riedel-Sahoo Theorem. 2010 Mathematics Subject Classification: 30C15.<br/><br/>Description: [Марков Любомир; Markov Lubomir]Thu, 01 Jan 2015 00:00:00 GMTOn the Poisson-Charlier Polynomials
http://hdl.handle.net/10525/3483
Title: On the Poisson-Charlier Polynomials<br/><br/>Authors: Özmen, Nejla; Erkuş-Duman, Esra<br/><br/>Abstract: In this paper the Poisson-Charlier polynomials are introduced. Some of their recurrence relations are presented. Various families of bilinear and bilateral generating functions for these polynomials are derived. Furthermore, some special cases of the results are presented in this study. 2010 Mathematics Subject Classification: 33C45.Thu, 01 Jan 2015 00:00:00 GMTNotes on Optimality Conditions Using Newton Diagrams and Sums of Squares
http://hdl.handle.net/10525/3482
Title: Notes on Optimality Conditions Using Newton Diagrams and Sums of Squares<br/><br/>Authors: Sekiguchi, Yoshiyuki<br/><br/>Abstract: We consider relationships between optimality conditions using Newton diagrams and sums of squares of polynomials and power series. 2010 Mathematics Subject Classification: 90C46, 13J30, 14M25.Thu, 01 Jan 2015 00:00:00 GMTConvolutional Calculus of Dimovski and QR-regularization of the Backward Heat Problem
http://hdl.handle.net/10525/3481
Title: Convolutional Calculus of Dimovski and QR-regularization of the Backward Heat Problem<br/><br/>Authors: Bazhlekova, Emilia<br/><br/>Abstract: The final value problem for the heat equation is known to be ill-posed. To deal with this, in the method of quasi-reversibility (QR), the equation or the final value condition is perturbed to form an approximate well-posed problem, depending on a small parameter ε. In this work, four known quasi-reversibility techniques for the backward heat problem are considered and the corresponding regularizing problems are treated using the convolutional calculus approach developed by Dimovski (I.H. Dimovski, Convolutional Calculus, Kluwer, Dordrecht, 1990). For every regularizing problem, applying an appropriate bivariate convolutional calculus, a Duhamel-type representation of the solution is obtained. It is in the form of a convolution product of a special solution of the problem and the given final value function. A non-classical convolution with respect to the space variable is used. Based on the obtained representations, numerical experiments are performed for some test problems. 2010 Mathematics Subject Classification: 35C10, 35R30, 44A35, 44A40.<br/><br/>Description: [Bazhlekova Emilia; Бажлекова Емилия]Thu, 01 Jan 2015 00:00:00 GMTKoszul Duality for Locally Constant Factorization Algebras
http://hdl.handle.net/10525/3480
Title: Koszul Duality for Locally Constant Factorization Algebras<br/><br/>Authors: Matsuoka, Takuo<br/><br/>Abstract: Generalizing Jacob Lurie’s idea on the relation between the Verdier duality and the iterated loop space theory, we study the Koszul duality for locally constant factorization algebras. We formulate an analogue of Lurie’s “nonabelian Poincaré duality” theorem (which is closely related to earlier results of Graeme Segal, of Dusa McDuff, and of Paolo Salvatore) in a symmetric monoidal stable infinity 1-category carefully, using John Francis’ notion of excision. Its proof depends on our study of the Koszul duality for En-algebras in [12]. As a consequence, we obtain a Verdier type equivalence for factorization algebras by a Koszul duality construction. 2010 Mathematics Subject Classification: 55M05, 16E40, 57R56, 16D90.Thu, 01 Jan 2015 00:00:00 GMTSummability Methods in Weighted Approximation to Derivatives of Functions
http://hdl.handle.net/10525/3479
Title: Summability Methods in Weighted Approximation to Derivatives of Functions<br/><br/>Authors: Küçük, Nisa; Duman, Oktay<br/><br/>Abstract: In this paper, we use summability methods on the approximation to derivatives of functions by a family of linear operators acting on weighted spaces. This point of view enables us to overcome the lack of ordinary convergence in the approximation. To support this idea, at the end of the paper, we will give a sequence of positive linear operators obeying the arithmetic mean approximation (or, approximation with respect to the Cesàro method) although it is impossible in the usual sense. Some graphical illustrations are also provided. 2010 Mathematics Subject Classification: 41A30, 42B08, 47B38.Thu, 01 Jan 2015 00:00:00 GMTEPW Sextics and Hilbert Squares of K3 Surfaces
http://hdl.handle.net/10525/3478
Title: EPW Sextics and Hilbert Squares of K3 Surfaces<br/><br/>Authors: Iliev, Atanas; Madonna, Carlo<br/><br/>Abstract: 2010 Mathematics Subject Classification: 14J35, 14F05.<br/><br/>Description: [Iliev Atanas; Илиев Атанас]Thu, 01 Jan 2015 00:00:00 GMTEvolution Equations for the Stefan Problem
http://hdl.handle.net/10525/3477
Title: Evolution Equations for the Stefan Problem<br/><br/>Authors: Lukarevski, Martin<br/><br/>Abstract: We study particular kind of Stefan problem and use the theory of abstract quasilinear evolution equations for its solution. 2010 Mathematics Subject Classification: 35R35, 35B65, 35J70.Thu, 01 Jan 2015 00:00:00 GMTPreface
http://hdl.handle.net/10525/3476
Title: Preface<br/><br/>Authors: EditorsThu, 01 Jan 2015 00:00:00 GMTThe Logic of Quantum Mechanics
http://hdl.handle.net/10525/3473
Title: The Logic of Quantum Mechanics<br/><br/>Authors: Felouzis, V.<br/><br/>Abstract: These notes, written for the Summer school in Operator Theory (Chios 2010) provide a brief and elementary introduction to the Logic of Quantum mechanics and its connections with the theory of operators in a Hilbert space. 2010 Mathematics Subject Classification: Primary 81P10, 4703; Secondary 0101.Thu, 01 Jan 2015 00:00:00 GMTSome Notes on Morita Equivalence of Operator Algebras
http://hdl.handle.net/10525/3472
Title: Some Notes on Morita Equivalence of Operator Algebras<br/><br/>Authors: Eleftherakis, G. K.<br/><br/>Abstract: In this paper we present some key moments in the history of Morita equivalence for operator algebras. 2010 Mathematics Subject Classification: Primary 47L40; Secondary 47L45, 47L55.Thu, 01 Jan 2015 00:00:00 GMTEP Elements in Rings and in Semigroups with Involution and in C*-algebras
http://hdl.handle.net/10525/3471
Title: EP Elements in Rings and in Semigroups with Involution and in C*-algebras<br/><br/>Authors: Karanasios, Sotirios<br/><br/>Abstract: This work includes a survey of most of the results concerning EP elements in semigroups and rings with involution and in C*-algebras. 2010 Mathematics Subject Classification: Primary 46L05, 46J05, 46H05, 46H30, 47A05, 47A53, 47A60, 15A09, 15A33, 16A28, 16A32, 16B99,16W10; Secondary 46E25,46K05, 47A12, 47A68.Thu, 01 Jan 2015 00:00:00 GMTOperator Algebras: an Introduction
http://hdl.handle.net/10525/3470
Title: Operator Algebras: an Introduction<br/><br/>Authors: Katavolos, Aristides<br/><br/>Abstract: The first part of these notes contains a sketch of the elementary parts of C*-algebra theory, culminating in the two Gelfand–Naimark theorems. The final section is a presentation of the basic facts of the theory of weak-* closed (possibly non-selfadjoint) unital algebras containing maximal abelian selfadjoint algebras (masas), or more generally bimodules over masas. 2010 Mathematics Subject Classification: Primary 46L05; Secondary 47L55.Thu, 01 Jan 2015 00:00:00 GMT