asymptotic behaviour of the solution near corners

... open problem: when k ≤ on Ω and c0 < 0, what is the exact asymptotic behaviour of the unique solution near the boundary to problem (1.1)? The outline of this article is as follows In Section 2, we ... properties to Karamata regular variation theory In Section 3, we prove the asymptotic behaviour of the unique solution u in Theorem 1.4 Finally we show existence of solutions to problem (1.1) Z Zhang ... Zeitschrift 147 (1976), no 1, 53–63 [15] Z Zhang, The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation, Journal of Mathematical Analysis and Applications 312 (2005),...

Ngày tải lên: 22/06/2014, 22:20

... k will suppress the superscript on the quantum representations and simply write ρk = ρn,d throughout the rest of the paper k Our key idea in the proof of Theorem is the use of the endomorphism ... formula for the asymptotics in k a of the operator norm of Toeplitz operators and the asymptotic expansion of the product of two Toeplitz operators Using these results we establish that ASYMPTOTIC ... using of the theory of Toeplitz operators on the moduli spaces in the study of TQFT’s The main insight behind the program is the relation among these Toeplitz operators and Hitchin’s connection asymptotically...

Ngày tải lên: 16/02/2014, 05:20

... which, L is thickness of the test specimen and t is diffusion time 3.1 Diffusion behaviour of water Figure shows weight change profiles of the polymers during immersion in the 40, 60, and 80 oC ... indicating of the more entry of water molecules into the free volume space of the matrix polymer The saturation increased from 0.30, 0.32, and 0.42 % (at 40oC) to 2.08, 2.17, and 2.40 % (at 80oC) for the ... with those of temperature The effect of carbon black constituent on mechanism of penetration of water into the polymers would be proposed as the following: water diffuses through the polymer...

Ngày tải lên: 14/03/2014, 13:20

... Description of the project Taking account of the variety of approaches observable in European countries, the idea has arisen of starting a multinational project to develop new solutions to the problem of ... live in most of the houses and the maximum ratio between the number of people living in a house and its number of rooms is 2:1 Therefore the extended family is the main network of support and ... for the elaboration of an intervention plan adapted to the needs of each specific community and thus different in each of the six partner countries In order to evaluate the effectiveness of the...

Ngày tải lên: 28/03/2014, 20:20

... mass of PAF) as a result of the presence of three disulfide bonds Importantly, the MS data yielded evidence demonstrating the lack of any post-translational modification of native PAF other than the ... positioned in the space between b4 and loop and create a welldefined aromatic region of the protein The topology of the disulfide pairs and the function of the cysteines According to the biochemical ... motif mediates the binding of the protein to structures of the outer layers of the target organism or exerts its function intracellularly [6,12] In conclusion, the solution structure of PAF has been...

Ngày tải lên: 29/03/2014, 23:20

... a constant independent of u and f Proof From the assumptions on the regularities of the coefficients apq and of the function f it follows that the solution (cN (t))N of the system (3.5), (3.6) ... 5.2.1]) Now let us give the main theorem of this section: Theorem 4.1 Suppose that all the assumptions of Theorem 3.4 hold for a given positive integer h Assume further that the strip m−ε− n n ≤ ... (t))N are the solution of the system of the following ordinary differential k k=1 equations of second order: (uN , ϕl ) tt t + B(t, uN , ϕl ) = (f , ϕl ) t , l = 1, , N, (3:5) with the initial...

Ngày tải lên: 21/06/2014, 00:20

... solution of (SVLI) From the pseudoinvexity of f and Theo¯ rem 5.1(ii), we obtain that x is a solution of (P) ■ ¯ From Theorems 4.2 and 5.1, we obtain the following theorem Denote the solution set of ... then xis a ¯ solution of MVLI); (ii) If x ∈ is a solution of (MVLI), for any given x, y Î Γ, the mapping ¯ λ → f+ (y + λη(x, y); η(x, y))is continuous at 0+, then xis a solution of (P) ¯ Proof ... x ∈ is a solution of (SVLI), in addition, assume that f is a pseudoinvex func¯ tion with respect to on Γ, then xis a solution of (P) ¯ Proof (i) Let x ∈ ¯ x be a solution of the (P), then for...

Ngày tải lên: 21/06/2014, 01:20

... 3.27 we get all above estimates Proof of Theorem 2.1 In the following we use the results of Section The conclusions of Theorem 2.1 are immediate consequences of the following lemmas Lemma 4.1 It ... In other words the initial functions ρ0 , v0 , ω0 , and θ0 are small perturbations of the constants Boundary Value Problems In the proof of Theorem 2.1, we apply some ideas of and obtain the ... and 3.10 is satisfied In the continuation we use the above results and the conditions of Theorem 2.1 Similarly as in 4, , we derive the estimates for the solution ρ, v, ω, θ of problem 2.1 – 2.7...

Ngày tải lên: 21/06/2014, 16:20

... one solution satisfying 3.8 This unique solution is denoted by x ϕ : Z→R and it is called the solution of the initial value problem 3.7 , 3.8 The asymptotic representation of the solutions of ... i 1, The proof of a is complete b In virtue of Lemma 5.5 the proof of the theorem will be complete if we show that the sequences H and h satisfy the conditions H2 – H5 in Section Since the series ... some lemmas Lemma 5.1 The hypotheses of Theorem 3.1 imply that the hypotheses of Theorem A are satisfied, and hence the solution z : z n n≥0 of 3.1 , 3.2 is bounded Proof Let > be such that ρ W is...

Ngày tải lên: 22/06/2014, 11:20

... to the domain of attraction of the normal law or it has slowly varying tails and one of the two tails completely dominates the other The interest of considering resampling sizes different to the ... ∗ (A) > 0), which completes the proof Proof of Theorem 2.1 If EX < ∞ then s2 → σ a.s Therefore, the theorem follows if we show that n ∗ the conditional distribution of YnNn converges weakly to ... belongs to the domain of attraction of the normal law Hall [10] completes the analysis in this setup showing that when there exists a bootstrap limit law (in probability) then either the parent...

Ngày tải lên: 06/08/2014, 05:20

... studied the above linear system and presented the following result, on which we make a slight modification Theorem 1.1 Let A be a nonsingular, diagonally dominant Z-matrix Then the solution of linear ... the result follows from Corollary 2.5 Corollary 2.7 Let A be an irreducible diagonally dominant L-matrix, and b = Then the solution of linear system (1) satisfies The Bounds on Components of the ... If A≥ and A≤ are nonsingular, then the solution of the linear system (1) satisfies d ≤ xi ≤ D, ∀i ∈ N Proof The result follows from Lemma 2.1, Lemma 2.2 and Theorem 2.4 Corollary 2.6 Let A be...

Ngày tải lên: 06/08/2014, 05:20

... bounded, then the height distribution Derivation of Results We establish the five parts of Theorem Since the analysis involves a routine use of the saddle point method (cf [1, 12]), we only give the ... for large b (cf Theorem 2) The proof is delayed until Section It is based on an asymptotic evaluation of a certain integral Summary of Results We let Hn be the height of a b-trie of size n We denote ... understood by viewing the problem as first fixing k and b, and then varying n (cf Section 4) Theorem For b → ∞ the distribution of the height of b-tries has the following asymptotic expansions:...

Ngày tải lên: 07/08/2014, 06:20

... then yields the result 3.2 (λ([0, x])(1 − λ([0, x])))p/2 The proof of Theorem Proof The proof is completely analogous to the proof of Theorem 1, due to the fact that the entire structure of the ... |g(a) − g(b)| dadb The result then follows from Theorem and ess sup0 3.5 x ∗ |g(x)| = DN (P) The proof of Theorem P Proof We go back to our definition of DN as the expected value of the random variable ... suitable decompositions of the unit cube (i.e bounds on the volume of the set A from the proof) The second way seems to lead to a very technical path while the first way seems to be the more manageable...

Ngày tải lên: 08/08/2014, 12:22

... sampling The effects of the assumptions about the number of loci and the distribution of the size of their effects are studied, extending the results previously reported by Pong-Wong et al !24! The ... is the number of records from individuals with such a genotype The solution of the linear model , l â is equivalent to the coefficient from the regression (passing through the origin) of the ... varying in the assumptions about the distribution of gene effects and the number of loci taken in the model of analysis These variations in assumptions were the following i) The distribution of the...

Ngày tải lên: 09/08/2014, 18:21

... even in the absence of other signs of injury in a hemodynamically stable patient The choice of treatment depends on the severity of the gallbladder injury and the general condition of the patient ... part of the manuscript KB and GNM were major contributors to the review and editing of the manuscript NF was the main pathologist and revised the manuscript AKS made the strategic plan and gave the ... its low cost and the ability to perform the test at the bedside in the emergency department Non-visualization of the gallbladder at ultrasonography should raise the suspicion of a traumatic gallbladder...

Ngày tải lên: 10/08/2014, 23:20

... that the c v values of the proposed method are generally lower than those of the Taylor method the δ p values of the proposed method are generally higher than those of the Taylor method The present ... evaluating the coefficient of consolidation and end of primary settlement based on a direct solution of the Terzaghi theory This new method determines the coefficient of consolidation utilizing the ... those of the Terzaghi theory In this paper, a new method is proposed in order to improve the estimation of the end of primary settlement ( δ p ) and the coefficient of consolidation ( c v ) The...

Ngày tải lên: 21/03/2013, 14:09

... and the demand curve to shift to the right Shifts in the Supply of Money I • Assume that the supply of money is controlled by the central bank • An increase in the money supply engineered by the ... engineered by the Bank of Canada will shift the supply curve for money to the right Shifts in the Demand and Supply of Money II Changes in the Demand for Money Changes in the Supply of Money Money Supply ... shifting the demand curve to the left • Expected Inflation - an increase in the expected rate of inflations lowers the expected return for bonds, causing the demand curve to shift to the left...

Ngày tải lên: 05/01/2014, 16:56

... with the same BIN etc and compares the data to the average parameters characterizing the outlet • High Risk Blocking: The amount of the suspicious purchase is paid to the merchants after the issuer ... network on a single day • Purchases where the transaction amount exceeds the daily average transaction value of the merchant Remark: In case of new merchants the value is compared to MCC average (successful ... through the Bank’s ATMs, reached 65.0 million in 2003 (2005: over 100m) • Turnover of these transactions was HUF1,594.2 billion, an increase of 5.6% and 17.8%, resp over 2002 • The number of withdrawal...

Ngày tải lên: 15/01/2014, 15:59

... adjusting the level of outside money The volume of broad money supplied to the economy is then simply determined as a multiple of the monetary base, depending on the size of the money multiplier The ... identification of the effects of these developments on the supply of money will be an important contribution of the monetary analysis to the assessment of the appropriate monetary policy stance The examples ... banks This strand of the literature focuses on the prevalence of superior information with regard to the success of investment projects on the side of the borrower vis-à-vis the bank The approach...

Ngày tải lên: 16/02/2014, 11:20

... one-turn helix on the other face It is thought that the two inner strands of the b-sheet lie within the major groove of the DNA and that a hydrophobic pocket formed by the side chains of Y123 and I125 ... [18] The structure of the helical coil a2/a3 allows us to interpret the consequences of the six mutations As P153(152) and G162(161) are buried in the protein core, replacement of each of these ... cluster in these two regions Knowledge of the structure of a larger portion of MeCP2 including the transcriptional repression domain would resolve these speculations and clarify the role of the helical...

Ngày tải lên: 21/02/2014, 00:20