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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 25
  3. Acta Mathematica Sinica, English Series : Volume 25, Issue 12, December 2009
  4. On initial data of the monopole equation
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 25, Issue 12, December 2009
Pfaffians and representations of the symmetric group
Strong labelings of linear forests
Generalized derivations as Jordan homomorphisms on lie ideals and right ideals
A note on the stability of Jordan triple higher ring derivations
Classification of Lagrangian surfaces of curvature ɛ in non-flat Lorentzian complex space form $$ \tilde M_1^2 (4\varepsilon ) $$ )
On holomorphic sections in Teichmüller spaces
Geometry of rectangular block triangular matrices
L p -Poincaré inequality for general symmetric forms
The regularity of local solutions for a generalized Camassa-Holm type equation
On Möbius form and Möbius isoparametric hypersurfaces
G-frames and g-frame sequences in Hilbert spaces
The representations of generalized inverses of lower triangular operators
Gauges for the cookie-cutter sets
On initial data of the monopole equation
Global existence and uniqueness of weak solution to nonlinear viscoelastic full Marguerre-von Kármán shallow shell equations
On cauchy problem of the Benney-Lin equation with low regularity initial data
A new kernel function yielding the best known iteration bounds for primal-dual interior-point algorithms
Selfinjective Koszul algebras of finite complexity
Erratum to: Existence of Positive Solutions for a Singular p-Laplacian Differential Equation
Erratum to: Spectral Gap and Logarithmic Sobolev Constant for Continuous Spin Systems
Acta Mathematica Sinica, English Series : Volume 25, Issue 11, November 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 10, October 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 9, September 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 8, August 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 7, July 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 6, June 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 5, May 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 4, April 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 3, March 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 2, February 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 1, January 2009
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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On initial data of the monopole equation

Content Provider SpringerLink
Author Wang, Hong Yu Zhu, Xiu Juan
Copyright Year 2009
Abstract The space-time monopole equation is the reduction of anti-self-dual Yang-Mills equations in ℝ2,2 to ℝ2,1. This equation is a non-linear wave equation, and can be encoded in a Lax pair. An equivalent Lax pair is used by Dai and Terng to construct monopoles with continuous scattering data, and then the equation can be linearized by the scattering data, allowing one to use the inverse scattering method to solve the Cauchy problem with rapidly decaying small initial data. In this paper, we use the terminology of holomorphic bundle and transversality of certain maps, parametrized by initial data, to give more initial data, with which we can use scattering method to solve the Cauchy problem of the monopole equation up to gauge transformation.
Ending Page 2132
Page Count 6
Starting Page 2127
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 12
Volume Number 25
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2009-11-15
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword holomorphically trivial bundle continuous scattering transversality Initial value problems for first-order hyperbolic systems Mathematics Integration of completely integrable systems by inverse spectral and scattering methods Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)
Content Type Text
Resource Type Article
Subject Applied Mathematics
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