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arxiv: 1812.03718 · v2 · pith:OCNSDCK4new · submitted 2018-12-10 · 🧮 math.AP · math.DG

Biharmonic wave maps into spheres

classification 🧮 math.AP math.DG
keywords biharmonicequationwaveapproximationconservationconstructedenergyginzburg-landau
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A global weak solution of the biharmonic wave map equation in the energy space for spherical targets is constructed. The equation is reformulated as a conservation law and solved by a suitable Ginzburg-Landau type approximation.

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