An L2-norm-preserving nonlocal parabolic flow is shown to have global solutions that converge to stationary states, with positive data on a ball converging to the ground state.
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Global solutions and Asymptotic Behavior to a Norm-preserving Non-local Parabolic Flow
An L2-norm-preserving nonlocal parabolic flow is shown to have global solutions that converge to stationary states, with positive data on a ball converging to the ground state.