The einstein scalar field lichnerowicz equations on compact riemannian manifolds

The einstein scalar field lichnerowicz equations on compact riemannian manifolds

The einstein scalar field lichnerowicz equations on compact riemannian manifolds

... 2.1 The Einstein- scalar field constraint equations in the dimension n We are now in a position to apply the conformal method to the Einstein constraint equations with the presence of a real scalar ... solution of (1.4.1) is constant 2 Background of the Einstein- scalar field constraint equations in the dimension n 2.1 The Einstein- scalar field constraint eq...

Ngày tải lên: 09/09/2015, 10:15

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Đề tài " Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations " doc

Đề tài " Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations " doc

... Annals of Mathematics, 158 (2003), 875–928 Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations By Mihalis Dafermos ... for the analysis of our equations The reader can recover the full result of the proposition from the estimates for ν in Section For the slighter weaker result...

Ngày tải lên: 05/03/2014, 23:20

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Tài liệu Đề tài " Rough solutions of the Einstein-vacuum equations " docx

Tài liệu Đề tài " Rough solutions of the Einstein-vacuum equations " docx

... of the Main Theorem with the exception of those results which concern the asymptotic properties of the Ricci coefficients (the Asymptotics Theorem), and the straightforward modifications of the ... desired in the proof of (93) The remaining term on the left-hand side of (93) is easier to treat Proof of the L2 − L∞ decay estimate; Theorem 2.1 In this section we...

Ngày tải lên: 16/02/2014, 05:20

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Tài liệu BANKING ON OPPORTUNITY: A SCAN OF THE EVOLVING FIELD OF BANK ON INITIATIVES docx

Tài liệu BANKING ON OPPORTUNITY: A SCAN OF THE EVOLVING FIELD OF BANK ON INITIATIVES docx

... TREASURY Office of Financial Education and Financial Access Banking on Opportunity A Scan of the Evolving Field of Bank On Initiatives A Scan of the Evolving Field of Bank On Initiatives BANKING ON ... DEPARTMENT OF THE TREASURY Office of Financial Education and Financial Access Banking on Opportunity A Scan of the Evolving...

Ngày tải lên: 16/02/2014, 06:20

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Báo cáo hóa học: " On the behavior of solutions of the system of rational difference equations" pptx

Báo cáo hóa học: " On the behavior of solutions of the system of rational difference equations" pptx

... EM: On the solutions of a class of difference equations systems Demonstratio Mathematica 41(1), :109–122 (2008) 32 Elsayed, EM: On the solutions of a rational system of difference equations Fasciculi ... Global behavior of a three-dimensional linear fractional system of difference equations J Math Anal Appl 310, 673–689 (2005) Özban, AY: On the positi...

Ngày tải lên: 20/06/2014, 22:20

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Báo cáo hóa học: " Research Article On the Stability of Trigonometric Functional Equations" pdf

Báo cáo hóa học: " Research Article On the Stability of Trigonometric Functional Equations" pdf

... ) Stability of the equation (T f g ) In this section, we investigate the stability of the trigonometric functional equations (T f g ) related to the sine equation (S) and the cosine equation ... are nonzero functions and ε is a nonnegative real constant, a mapping ϕ : G→R Stability of the equation (Tg f ) In this section, we investigate the stability of the...

Ngày tải lên: 21/06/2014, 22:20

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Báo cáo hóa học: "ON THE SYSTEM OF RATIONAL DIFFERENCE EQUATIONS xn+1 = f (xn , yn−k ), yn+1 = f (yn ,xn−k )" potx

Báo cáo hóa học: "ON THE SYSTEM OF RATIONAL DIFFERENCE EQUATIONS xn+1 = f (xn , yn−k ), yn+1 = f (yn ,xn−k )" potx

... { 1,2 , }, the initial conditions x−k ,x−k+1 , ,x0 , y−k , y−k+1 , , y0 ∈ ( 0,+ ∞ ), A ∈ ( 0,+ ∞) and p, q ∈ [ 0,1 ] with p + q = Let E = ( 0,+ ∞) if p > and E = [ 0,+ ∞) if p = and f (x, y) = p + A+x , q+ ... xln = M, n→∞ lim xln − j = M j ∈ g(P),M , for j ∈ { 1,2 , ,3 k + 1 }, lim yln − j = P j ∈ g...

Ngày tải lên: 22/06/2014, 22:20

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Báo cáo hóa học: "ON THE SYSTEM OF RATIONAL DIFFERENCE EQUATIONS xn+1 = f (yn−q ,xn−s ), yn+1 = g(xn−t , yn− p )" ppt

Báo cáo hóa học: "ON THE SYSTEM OF RATIONAL DIFFERENCE EQUATIONS xn+1 = f (yn−q ,xn−s ), yn+1 = g(xn−t , yn− p )" ppt

... x−s ,x−s+1 , ,x0 ∈ I and y− p , y− p+ 1 , , y0 ∈ J converges to (S,T) Proof Let m0 = c, m0 = , M1 = d, M2 = , (2.16) and for i = 1,2 , , we define i i M1 = f mi2−1 ,M1−1 , i mi1 = f M2−1 ,mi1−1 , ... f yn−q ,xn−s ≤ f b,xn−s (2.5) If xn−s ≤ A, then xn+1 ≤ f (b,xn−s ) ≤ f (b,A) = A If xn−s > A, then f (b,A...

Ngày tải lên: 22/06/2014, 22:20

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on the galois groups of the 2-class field towers of some imaginary quadratic fields

on the galois groups of the 2-class field towers of some imaginary quadratic fields

... class of group extensions that includes each of the groups We conjecture subgroup and quotient group properties of these extensions ON THE GALOIS GROUPS OF THE 2-CLASS FIELD TOWERS OF SOME IMAGINARY ... ABSTRACT Title of dissertation: ON THE GALOIS GROUPS OF THE 2-CLASS FIELD TOWERS OF SOME IMAGINARY QUADRATIC FIELDS Aliza Steure...

Ngày tải lên: 13/11/2014, 09:08

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Greens function of 2 d compressible navier  stokes equations on the half space

Greens function of 2 d compressible navier stokes equations on the half space

... transform of the function f (x) 2. 2 Notations We begin with the introduction of the fundamental solution and Green’s function Definition 2. 4 The fundamental solution of (1.5) we discussed in this thesis ... consider 2- D compressible Navier- Stokes equations under zero Dirichlet boundary conditions around a given constant state, and give the structure of the...

Ngày tải lên: 10/09/2015, 09:06

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EINSTEIN CONSTRAINT EQUATIONS ON RIEMANNIAN MANIFOLDS

EINSTEIN CONSTRAINT EQUATIONS ON RIEMANNIAN MANIFOLDS

... the Einstein equations Constraints and evolutions 4.1 Derivation of constraint equations: The Hamiltonian constraint 4.2 Derivation of constraint equations: The momentum constraint 4.3 Evolutions ... understand solutions of the constraint equations EINSTEIN CONSTRAINT EQUATIONS ON RIEMANNIAN MANIFOLDS 15 C ONSTRAINTS AND EVOLUTIONS As we have already mentioned in...

Ngày tải lên: 14/10/2015, 07:57

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SYMMETRIC EXISTENCE RESULTS, AND AGGREGATED, TOWERING BLOW UP SEQUENCES FOR THE PRESCRIBED SCALAR CURVATURE EQUATION ON SN

SYMMETRIC EXISTENCE RESULTS, AND AGGREGATED, TOWERING BLOW UP SEQUENCES FOR THE PRESCRIBED SCALAR CURVATURE EQUATION ON SN

... prescribed scalar curvature equation on the standard sphere S n In the first part, we use the negative gradient flow equation for the prescribed scalar curvature equation to obtain existence theorems ... sequences for the prescribing scalar curvature on S n : aggregated blow- up and towering blow- up 27 Description of the main results 29...

Ngày tải lên: 30/10/2015, 17:08

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