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We prove that the critical Wave Maps equation with target S2 and origin ℝ2+1 admits energy class blow up solutions of the form [ u(t, r) = Q(\lambda(t)r) + \epsilon(t, r) ] where Q:R2→S2 is the ground state harmonic map and $\lambda ...
We prove that the critical Wave Maps equation with target S2 and origin R2+1 admits energy class blow up solutions of the form \[ u(t, r) = Q(\lambda(t)r) + \eps(t, r) \] where Q:R2→S2 is the ground state harmonic map and $\lambd ...
In this note we combine a recent result by Geba [2] on the local wellposedness theory of systems of nonlinear wave equations with Q0 null-form structure with the classical Penrose compactification method to obtain a new small data global existence resul ...