论文信息 - Nonuniqueness for the heat flow of harmonic maps

Nonuniqueness for the heat flow of harmonic maps

Abstract We construct maps u0 : B3 → S2 such that the Cauchy problem « find u : B3 × [0, + ∞) → S2 such that u(x, 0) = u0(x) in B3, u t − Δ u = u | ∇ u | 2 , u = u0 on ∂B3 × [0, + ∞) » has infinitely many weak solutions.

Jean-Michel Coron | J. Coron

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