the problem of the equation

... [16] The idea consists in replacing the final bound-ary value problem with an approximate solution of the final boundbound-ary value problem In the initial method of the quasi-reversibility, the ... on the fundamental solution for a second order elliptic operator Furthermore they propose the mixed quasi-reversibility method, and give some nice results The ill-posed problem of the wave equation ... with the abstract Euler equation J ε(u ε )(v) = 0, for all v ∈ H2 0(Q T ), then through a minimizer u ε of calculation for above equation, they obtain perturb term to approximate the solution of

Ngày tải lên: 29/03/2021, 16:43

... see that the lower the noise level δ is, the better the approximate effect is; the closer to the boundary x 1 the location is, the better the approximate effect is These accord with the theory inSection ... data g, h The following estimate holds Lemma 2.4 convergence Suppose that u is the solution of the problem 2.2, and that the Helmholtz equation is valid for 0 < x < L Then the difference ... and4 In the experiment, the regularization parameter is chosen according to the Remark ofRemark 2.5, where we take E 1 From the above results, it is easy to see that the numerical effect of the spectral

Ngày tải lên: 21/06/2014, 16:20

... becausethe variables of these equations have different meaning The variables of theNavier-Stokes equations are thermodynamical parameters while the variables ofthe Boltzmann equations or the Broadwell ... in [21], the first part is consequence of the spectrum gap property of the eigenvalues at the origin We omit the proof of this part We calculate thebehavior of λ for |η| ≪ 1 We make use of Lemma ... from the Laplace transformation and the well-posedness so-of the original system The discussion on the calculation so-of the inverse Laplacetransformation of the Dirichlet-Neumann map for kinds of

Ngày tải lên: 09/09/2015, 10:15

... .Proof: Refer to the appendix for the details of the proof.  Lemma 2.11: For a1> 0, a2> 0, p > 0, m5≥ 1, m6≥ 1, we have Proof: Refer to the appendix for the details of the proof.  3 The ... consider the following problem: The existence and uniqueness of the direct problem solution has been proved in the [60] The inverse problem is to use the measurement data g (r) and the known ... for I2=∅, and the ranges of the operators K1and K2are Therefore, we have the following existence of the solutions for the integral equations: Theorem 3.2: If I1=∅, for any g1∈ R(K1), there exists

Ngày tải lên: 28/04/2021, 13:40

... areas of the Northern Hemisphere during the 20th century,155 and global warming is predicted to further increase the intensity of rainfall events for parts of the United States.156 What might be the ... the case for most of the interior portions of the United States, sewage overflows can put downstream users at risk The Missouri River, for instance, is the source of drinking water for some of ... be increasing, and there is evidence that the rate of infection is proportional to both the amount of time swimmers are exposed and the levels of pollution in the waters where they swim.60 According

Ngày tải lên: 17/02/2014, 10:20

... 2.41 [...]... then the problem 4.2 – 4.5 has a weak solution u ∈ W m,p Ω ∩ X1 , p 2δ/ 1 δ The proof of Theorem 4.4 is parallel to that of Theorem 4.3; here we omit the detail Acknowledgment ... need to check the reasonableness of the boundary value problem 2.10–2.13 under the definition of weak solutions, that is, the solution in the classical sense are necessarily the solutions ... existence of the weak solution. Then by using the inverse H ¨ older inequalities, we obtain the regularity of the weak solution in the anisotropic Sobolev space. 1. Introduction Keldys 1 studies the

Ngày tải lên: 21/06/2014, 11:20

... a solution of 2.11 if and only if u satisfies the operator equation ∇F u 2.25 The Main Theorems Now, we state and prove the following theorem concerning the solution of problem 2.11 Theorem 3.1 ... Minimax theorems are one of powerful tools for investigation on the solution of differential equations and differential systems The investigation on the solution of differential equations and differential ... 629–644, 2006 12 Boundary Value Problems H Wenhua, “A minimax theorem for the quasi-convex functional and the solution of the nonlinear beam equation,” Nonlinear Analysis: Theory, Methods & Applications,

Ngày tải lên: 21/06/2014, 20:20

... 2.12 is the fundamental solution to the Helmholtz equation in R 2 ,andH 1 0 is a Hankel function of the first kind of order zero. By making use of the known jump relationships of the single- ... Section 3. The potential theory and Fredholm theory will be used to prove our main results. 2. Boundary Integral Equations of the Direct Scattering Problem Consider the scattering of time-harmonic ... Value Problems problem. Therefore, in the following we just consider the direct scattering problem for a mixture of a crack Γ and a bounded domain D, and the corresponding inverse scattering problem

Ngày tải lên: 21/06/2014, 20:20

... of uplink resources for the feedback such that the overall performance of the downlink and the uplink is maximized Moreover, the division of the available bandwidth into the uplink band and the ... for the existence of the solution The original constraint optimization problem (1) is, therefore, essentially reduced to the unconstrained problem (6) of findingbopt 2.1 Simplifications For the ... of the downlink throughput (More precisely, this is the fraction of the feedback rate with respect to the downlink throughput of the average channel Because the latter is an upper bound for the

Ngày tải lên: 21/06/2014, 22:20

... explicitly acknowledged in the thesis I also declare that the intellectual content of this thesis is the product of my own work, except to the extent that assistance from others in the project's design ... gesture of virtual human, and the second part presents the model of RL problem and illustrate the exploration and exploitation trade-off problem during learning process 1.1 Gesture synthesizing ... to the skin Example 1: The wrist of arm is considered a joint of two bones (fig 1.5a) The skin is determined by vertices on the triangle mesh The different colors of vertices refer to the

Ngày tải lên: 25/03/2015, 10:02

... the LoRP consists in the so-called loss rank of a model defined asthe number of other (fictitious) data that fit the model better than the actual data, andthe model selected is the one with the ... consists in the so-called loss rank of a model defined as the number of other (fictitious) data that fit the model better than the actual data,and the model selected is the one with the smallest ... seeking a tradeoff between the model complexity d and the measure of fit ρ, and the LoRP suggests the optimal tradeoff by maximizing the KL Theorem 8 (LoRP for projective regression) The best projective

Ngày tải lên: 10/09/2015, 15:51

... statement of results Let V k be an elementary abelian 2-group of rank k Denote by BV kthe classifying space of V k It may be thought of as the product of k copies of the real projective space RP∞ Then ... THE PETERSON HIT PROBLEM OF FIVE VARIABLES AND ITS APPLICATIONS TO THE FIFTH SINGER TRANSFER NGUYỄN SUM Abstract We study the Peterson hit problem of finding a minimal set of generators for the ... of degree 1 Here the cohomology is taken with coefficients in the prime field F2of two elements Being the cohomology of a space, P k is a module over the mod 2 Steenrod algebra A The action of

Ngày tải lên: 16/10/2015, 09:25

... IN THE OEUVRE: THE PROBLEM OF CONFESSION IN THE WORKS OF FOUCAULT, MISHIMA AND WINTERSON Tan Yong Yeong Thesis submitted in part fulfilment of the requirements for the degree of Master of ... equivalents to the author function, according to Foucault, are the “the idea of the work” and “the notion of writing (écriture)” (11) Without referring to the author, the idea of the “work” inevitably ... discuss the entirety of Foucault’s works here, and the discussion that follows is necessarily limited to several themes in selected works One of these themes is discursivity and the position of the

Ngày tải lên: 10/11/2015, 12:27

... disappears from the story like the words and letters at the very end of the book The problem of identity that develops in City of Glass is also the question of the author‟s identity The author-characters ... two parts The first part is rather theoretical and includes the first two chapters; whereas in the second part which presents the main body of the thesis, the most important aspects of identity ... mind, he depends on the huge empty house, a silent witness of his life The house as “the metaphor of [his] father‟s life” gives evidence of the process of disintegration, both of the house and his

Ngày tải lên: 14/04/2016, 18:01

... conversation, contribution and the idea of the ‘power of the many’ instead of the ‘power of the few’ (Safko and Brake 2009:14) Social media influenced the digital culture of the masses Not only experts ... from the field of cultural economics in order to confront the problem of overwhelming abundance on the internet The cultural economic instruments in this study have regard to the complexity of the ... institute of Sogeti, this company is one of the largest ICT companies in The Netherlands VINT’s book ME the media (Bloem et al 2009) offers a brief overview of the third media revolution The VINT

Ngày tải lên: 08/01/2017, 19:46

... drawn on the writings of Tzvetan Todorov and Ashis Nandy to givesome sense of the varying responses of the self to the “discovery” of the other.9 Todorov (1984:42–43), based on his study of the conquest ... resentment of the privileges and abuses of the Church (Blickle, 1984;Jelsma, 1998) Thus, the beliefs of the reformers were soon translated intoaction, disrupting the sense of the role of the Church ... as the ultimate source of theircreativity, most IR theorists seem to imagine that they spin their theories in apristine and abstract space that excludes the messiness of the existent world Tothe

Ngày tải lên: 08/04/2017, 09:43

... higher the debt, the lower the profitability of the firm 2.4.2 In-deep on-the-field interview for more understanding the causes In order to identify the real of problem of HVG, a survey of deep ... interviewing all the responsible members of the company, the symptoms of the problem had revealed as following: - The growth rate of the HVG’s cost of goods sold and expenses is greater than this of its ... 2012-2014 and its profit margin got the lowest value among the four corporations in 2015 As gross profit margin is the quick indicator of the ability of generate profit from the company main activity

Ngày tải lên: 22/08/2017, 12:27

... However, the FTC found in 1991 that the roof of the Volvo used in the filming had been reinforced with an extra steel framework, while the roof supports on the other car brands had been cut The Wonder ... to the buyers and/or sellers Asymmetric information is the condition where one party, either the buyer or the seller, has more information about the quality or price of the product than the other ... soup, the company was having problems getting an appetizing picture of the soup, because the vegetables kept sinking So they filled a bowl with marbles and poured the soup over the top, so that the

Ngày tải lên: 31/10/2017, 17:21

... paper approaches the problem of la te r a l o s c illa tio n of beams subjected to axial load by m eans of seeking the exact so lu tio n of the lin e a r Math.eu equation with the periodic function ... effect of the Chaos phenomenon. The condition and algorithm for finding the approxim ated so lu tio n of the e q in to n (1) with From obtained results we can discuss about the o scillation of b ... s u m m a r iz e d as follows: The general exact solution for the equation (1) with h(t) h a v in g a determ ined form can be expressed in the form of known m athem atical fu n ctio n s It illustrate?

Ngày tải lên: 14/12/2017, 14:46

... properties of Black–Scholes formula and prove the instability of the inverse problems Section3gives the existence and the regularization of the outer problem The regularization of whole problem ... dx. Now, we can give a precise form of the inverse problem Calibration Problem Let u(t) be the known fair price of the market We consider the problem of finding the unknown volatility function a(t) ... for the problem To this end, we consider some problems Let δ1 > 0 andO be a neighborhood of w ex (in the topology ofY) The first problem is the one of convergence analysis (or consistency problem)

Ngày tải lên: 16/12/2017, 09:00