We show that the wave map equation in ${\bf R}^{1+1}$ is in general ill posed in the critical space $\dot{H}^{1/2}$, and the Besov space $\dot{B}_{2}^{1/2,1}$. The ...
A crystal is a solid material whose constituents atoms are arranged in a periodic fashion. A charge density wave (CDW) is a quantum mechanical phenomenon observed in some crystals with metallic ...
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