... 157–222
The blow-up dynamic and upper bound
on the blow-up rate for critical
nonlinear Schr¨odinger equation
By Frank Merle and Pierre Raphael
Abstract
We consider the critical nonlinear Schr¨odinger ... such
Annals of Mathematics
The blow-up dynamic and
upper bound on the blow-up
rate for critical nonlinear
Schr¨odinger...
... Local conservation laws
In this section we record some standard facts about the (non)conservation
of mass, momentum and energy densities for general nonlinear Schr¨odinger
equations of the form
6
i∂
t
φ ... Lin and W. Strauss, Decay and scattering of solutions of a nonlinear Schr¨odinger
equation, J. Funct. Anal. 30, (1978), 245–263.
[34]
C. Morawetz, Time decay for th...
... H
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biopterin on the conformational
transition (hysteresis) triggered by substrate binding
as studied by surface plasmon resonance analysis
The effect of the pterin cofactors on the reversible global
conformational ... on the rate of
phosphorylation of Ser16, the limited proteolysis by trypsin
and the substrate induced conformational transition (hys-
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... size for the integration of Newton’s equation was 1 fs.
The c oupling to the temperature bath was set to 100 fs and
the nonbonded interactions were updated every 25 fs. The
MD simulations ran for ... f the monoclonal antibody. The 3D structures of the
ligands in the bound conformation were determined by an-
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... ψ
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4. The harmonic forms and proof of Theorem B
We now use Theorem 3.11 to identify the harmonic forms in C
•
; version
(B) of the strong Macdonald conjecture follows by assembling Propositions ... with the hermitian involution on the zero-modes g ⊆ g[z],
for which the graded pieces are mutually orthogonal. For us, V will be Sg[z]
∗
res
.
Write R
a
(m) for th...
... tử
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... made the great changes for people’s lives, especially for the
youth. Most of the cities- dwellers possess one or more hand phones, in particular, the
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... DataSet. Finally, the default view of the mapped
Categories table is bound to the data grid on the form.
The C# code is shown in Example 2-21
.
Example 2-21. File: MappingsForm.cs
// Namespaces, ... with a different
name in the DataSet for the table associated with the containing table mapping object.
The Fill( ) method of the DataAdapter always uses mapping info...