Energy Quantization for Approximate H-surfaces and Applications

نویسنده

  • SHENZHOU ZHENG
چکیده

We consider weakly convergent sequences of approximate H-surface maps defined in the plane with their tension fields bounded in Lp for p > 4/3, and establish an energy quantization that accounts for the loss of their energies by the sum of energies over finitely many nontrivial bubbles maps on R2. As a direct consequence, we establish the energy identity at finite singular time to their H-surface flows.

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تاریخ انتشار 2013