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  1. Calculus of Variations and Partial Differential Equations
  2. Calculus of Variations and Partial Differential Equations : Volume 46
  3. Calculus of Variations and Partial Differential Equations : Volume 46, Issue 1-2, January 2013
  4. Scattering of wave maps from $${{\mathbb {R}^{2+1}}}$$ to general targets
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Calculus of Variations and Partial Differential Equations : Volume 56
Calculus of Variations and Partial Differential Equations : Volume 55
Calculus of Variations and Partial Differential Equations : Volume 54
Calculus of Variations and Partial Differential Equations : Volume 53
Calculus of Variations and Partial Differential Equations : Volume 52
Calculus of Variations and Partial Differential Equations : Volume 51
Calculus of Variations and Partial Differential Equations : Volume 50
Calculus of Variations and Partial Differential Equations : Volume 49
Calculus of Variations and Partial Differential Equations : Volume 48
Calculus of Variations and Partial Differential Equations : Volume 47
Calculus of Variations and Partial Differential Equations : Volume 46
Calculus of Variations and Partial Differential Equations : Volume 46, Issue 3-4, March 2013
Calculus of Variations and Partial Differential Equations : Volume 46, Issue 1-2, January 2013
Construction of blow-up sequences for the prescribed scalar curvature equation on S n . II. Annular domains
On the moving frame of a conformal map from 2-disk into $${\mathbb{R}^n}$$
The long time behavior of fourth order curvature flows
L 3/2-estimates of vector fields with L 1 curl in a bounded domain
Liouville type theorems for integral equations and integral systems
On a class of singular elliptic problems with the perturbed Hardy–Sobolev operator
Radial solutions of Neumann problems involving mean extrinsic curvature and periodic nonlinearities
Non-compactness of the prescribed Q-curvature problem in large dimensions
On Calderón-Zygmund theory for p- and $${\mathcal{A}}$$ -superharmonic functions
Normalized Ricci flows and conformally compact Einstein metrics
Volume preserving curvature flows in Lorentzian manifolds
Nonsmooth analysis of doubly nonlinear evolution equations
On the HSL-flow
Weakly coupled nonlinear Schrödinger systems: the saturation effect
The optimal mass transport problem for relativistic costs
Classification of radial solutions to the Emden–Fowler equation on the hyperbolic space
Limits as p → ∞ of p-laplacian eigenvalue problems perturbed with a concave or convex term
Scattering of wave maps from $${{\mathbb {R}^{2+1}}}$$ to general targets
Erratum to: Complete bounded null curves immersed in $${\mathbb{C}^3}$$ and $${{\rm SL}(2, \mathbb{C})}$$
Calculus of Variations and Partial Differential Equations : Volume 45
Calculus of Variations and Partial Differential Equations : Volume 44
Calculus of Variations and Partial Differential Equations : Volume 43
Calculus of Variations and Partial Differential Equations : Volume 42
Calculus of Variations and Partial Differential Equations : Volume 41
Calculus of Variations and Partial Differential Equations : Volume 40
Calculus of Variations and Partial Differential Equations : Volume 39
Calculus of Variations and Partial Differential Equations : Volume 38
Calculus of Variations and Partial Differential Equations : Volume 37
Calculus of Variations and Partial Differential Equations : Volume 36
Calculus of Variations and Partial Differential Equations : Volume 35
Calculus of Variations and Partial Differential Equations : Volume 34
Calculus of Variations and Partial Differential Equations : Volume 33
Calculus of Variations and Partial Differential Equations : Volume 32
Calculus of Variations and Partial Differential Equations : Volume 31
Calculus of Variations and Partial Differential Equations : Volume 30
Calculus of Variations and Partial Differential Equations : Volume 29
Calculus of Variations and Partial Differential Equations : Volume 28
Calculus of Variations and Partial Differential Equations : Volume 27
Calculus of Variations and Partial Differential Equations : Volume 26
Calculus of Variations and Partial Differential Equations : Volume 25
Calculus of Variations and Partial Differential Equations : Volume 24
Calculus of Variations and Partial Differential Equations : Volume 23
Calculus of Variations and Partial Differential Equations : Volume 22
Calculus of Variations and Partial Differential Equations : Volume 21
Calculus of Variations and Partial Differential Equations : Volume 20
Calculus of Variations and Partial Differential Equations : Volume 19
Calculus of Variations and Partial Differential Equations : Volume 18
Calculus of Variations and Partial Differential Equations : Volume 17
Calculus of Variations and Partial Differential Equations : Volume 16
Calculus of Variations and Partial Differential Equations : Volume 15
Calculus of Variations and Partial Differential Equations : Volume 14
Calculus of Variations and Partial Differential Equations : Volume 13
Calculus of Variations and Partial Differential Equations : Volume 12
Calculus of Variations and Partial Differential Equations : Volume 11
Calculus of Variations and Partial Differential Equations : Volume 10
Calculus of Variations and Partial Differential Equations : Volume 9
Calculus of Variations and Partial Differential Equations : Volume 8
Calculus of Variations and Partial Differential Equations : Volume 7
Calculus of Variations and Partial Differential Equations : Volume 6
Calculus of Variations and Partial Differential Equations : Volume 5

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Scattering of wave maps from $${{\mathbb {R}^{2+1}}}$$ to general targets

Content Provider SpringerLink
Author Nahas, J.
Copyright Year 2012
Abstract We show that smooth, radially symmetric wave maps U from $${\mathbb {R}^{2+1}}$$ to a compact target manifold (N, where ∂ r U and ∂ t U have compact support for any fixed time, scatter. The result will follow from the work of Christodoulou and Tahvildar-Zadeh, and Struwe, upon proving that for $${(\lambda^{\prime} \in (0,1),}$$ energy does not concentrate in the set $$K_{\frac{5}{8}T,\frac{7}{8}T}^{\lambda^{\prime}} = \{(x,t) \in \mathbb{R}^{2+1} \vert \quad|x| \leq \lambda^{\prime} t, t \in [(5/8)T,(7/8)T] \}.$$
Ending Page 437
Page Count 11
Starting Page 427
File Format PDF
ISSN 09442669
e-ISSN 14320835
Journal Calculus of Variations and Partial Differential Equations
Issue Number 1-2
Volume Number 46
Language English
Publisher Springer-Verlag
Publisher Date 2012-01-19
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Wave equation Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Theoretical, Mathematical and Computational Physics Hyperbolic equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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