1 6 Ju n 20 09 GLOBAL REGULARITY OF WAVE MAPS VI . ABSTRACT THEORY OF MINIMAL - ENERGY BLOWUP SOLUTIONS
نویسنده
چکیده
In [16], [17], [18], the global regularity conjecture for wave maps from two-dimensional Minkowski space R to hyperbolic space H was reduced to the problem of constructing a minimal-energy blowup solution which is almost periodic modulo symmetries in the event that the conjecture fails. In this paper, we show that this problem can be reduced further, to that of showing that solutions at the critical energy which are either frequency-delocalised, spatially-dispersed, or spatially-delocalised have bounded “entropy”. These latter facts will be demonstrated in the final paper [19] in this series.
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A ug 2 00 9 GLOBAL REGULARITY OF WAVE MAPS VI . ABSTRACT THEORY OF MINIMAL - ENERGY BLOWUP SOLUTIONS
In [16], [17], [18], the global regularity conjecture for wave maps from two-dimensional Minkowski space R to hyperbolic space H was reduced to the problem of constructing a minimal-energy blowup solution which is almost periodic modulo symmetries in the event that the conjecture fails. In this paper, we show that this problem can be reduced further, to that of showing that solutions at the cri...
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