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A LARGE DATA REGIME FOR NON-LINEAR WAVE EQUATIONS
A LARGE DATA REGIME NON-LINEAR WAVE EQUATIONS
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2018/4/19
For semi-linear wave equations with null form non-linearities on R3+1, we exhibit an open set of initial data which are allowed to be large in energy spaces, yet we can still obtain global solutions i...
LONG TIME SOLUTIONS FOR WAVE MAPS WITH LARGE DATA
LONG TIME SOLUTIONS WAVE MAPS LARGE DATA
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2018/4/19
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-spa...