(12019)LONG TIME SOLUTIONS FOR WAVE MAPS WITH LARGE DATA

来源:数学科学研究中心

Abstract. For 2 + 1 dimensional wave maps with S2 as the target, we show that for all positive numbers T0 > 0 and E0 > 0, there exist Cauchy initial data with energy at least E0, so that the solution's life-span is at least [0; T0]. We assume neither symmetry nor closeness to harmonic maps.

  • LONG TIME SOLUTIONS FOR WAVE MAPS WITH LARGE DATA.pdf