Đề tài " Global hyperbolicity of renormalization for Cr unimodal mappings " pptx
Đề tài " Global hyperbolicity of renormalization for Cr unimodal mappings " pptx
... that f ∈ K(g, ε
0
). Hence, by continuity of the map K(g, ε
0
) → A
V
,
Annals of Mathematics
Global hyperbolicity of
renormalization
for Cr unimodal mappings
By Edson de Faria, Welington ... continuous,
for a fixed 0 <α<1, if there is c>0 such that |ϕ(x) − ϕ(y)|≤c|x − y|
α
for
Annals of Mathematics, 164 (2006), 731–824
Global hyperbolicity of...
Đề tài " Global existence and convergence for a higher order flow in conformal geometry" pptx
... C
≤−
1
C
w
2
H
2k
+ C
for all 0 ≤ t ≤ T .Thus, we conclude that
w
H
2k
≤ C for all 0 ≤ t ≤ T.
Therefore, the evolution equation has a solution which is defined for all time.
6. Convergence
For the sake of brevity, ... on RP
n
.
8. A compactness result for conformal metrics on S
n
In this section, we give a proof for Proposition 1.4. Let g
k
= e
2w
k
g
0
be a
sequence of con...
Tài liệu Đề tài " Moduli space of principal sheaves over projective varieties " pptx
... semistable,
and, being both of degree 0, the sheaf E
1
is also of degree 0 and Mumford
semistable. Note that E
1
is a solvable ideal of E, i.e. the fibers of E
1
are solvable
ideals of the fibers of E (at closed ... a Mumford semistable subsheaf of E
∨∨
1
of degree zero. Define E
2
= E
2
∩ E. It is a Mumford semistable subsheaf of E
of degree zero. Similarly E
3
=[E
2
,E...
Đề tài " A C1-generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources " ppt
... results: Proofs of the theorems
2.2. Proofs of the theorems
2.2.1. Proofs of Theorem 1 and Proposition 2.6
2.2.2. Proof of Corollary 0.2
2.2.3. Proof of Corollary 0.3
2.2.4. Proof of Theorem 2
2.2.5. ... eigenvalues of rank (i, i + 1), and
homotheties
5.1. Getting complex eigenvalues of any rank
5.2. End of the proof of Proposition 2.4
5.3. Proof of Proposition 2.5
5.3.1...
Tài liệu Đề tài " Logarithmic singularity of the Szeg¨o kernel and a global invariant of strictly pseudoconvex domains " docx
... Section 2, we formulate the Bergman
and Szeg¨o kernels as microfunctions. We here include a quick review of the
theory of microfunctions in order for the readers to grasp the arguments of
this paper ... Theorem 1 is also
a consequence of a variational formula of the Szeg¨o kernel, which is obtained as
a part of a system of microdifferential equations for the family of Szeg¨...
Tài liệu Đề tài " Global well-posedness and scattering for the energy-critical nonlinear Schr¨odinger equation in R3 " docx
... must therefore exist a critical energy 0 <E
crit
< ∞ such that M(E
crit
)=
+∞, but M (E) < ∞ for all E<E
crit
. One can think of E
crit
as the minimal
energy required to create a blowup ... grateful to Monica Visan for pointing out an incorrect version of Lemma 3.10 in
a previous version of this paper, and also in simplifying the proof of Lemma 3.9.
SCATTERING FOR 3D...
Đề tài " Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics " doc
... caoc@fiu.edu
Dept. of Mathematics and Dept. of Mechanical and Aerospace Engineering,
University of California, Irvine, CA and
Dept. of Computer Science and Applied Mathematics,
Weizmann Institute of Science, ... other kinds
of boundary conditions. As in the case of 3D Navier-Stokes equations the
question of uniqueness of the weak solutions to this model is still open.
2. Prel...
Đề tài " The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks " doc
... is a component of
R
2
\ T
h
(Π(∂Γ)) ,
then each component of Π
−1
(E) ∩ Γ is a graph over E of a function u with
|∇
R
2
u|≤C
g
β.
Proof.IfB
h
(y) ⊂ Γ, then the curvature estimate of [Sc] gives
sup
B
h/2
(y)
|A|
2
≤ ... γ
3
consists of an odd number of points in each of two distinct
components of H ∩ Σ. To do that, we begin by applying Lemma I.0.11 to
get q ∈ B
50 h
(z
b
) ∩∂B...
Đề tài " Topological equivalence of linear representations for cyclic groups: I " pdf
... identification of the K-theory of chain complexes of an additive category
with the K-theory of the additive category is an Euler characteristic (see e.g.
[9]).
By abuse of notation we denote the category of ... [21, §3, §12] for the proof of part (i) for L
s
or L
p
. Part (ii) is
due to Bak for L
s
and L
h
[2], and is proved in [21, 12.1] for L
p
. We can now
substitute t...