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Global nonlinear stability of one kind of large solutions to evolutionary Faddeev model. (English) Zbl 1458.35275
Summary: It is well known that there is few results about the global classical solutions to quasilinear wave equations with large data. The famous evolutionary Faddeev model corresponding to maps from the Minkowski space $$\mathbb{R}^{1+n}$$ to the unit sphere $$\mathbb{S}^2$$ is satisfying one kind of quasilinear wave equations. In this paper, we show the global nonlinear stability of one kind of nontrivial and large classical solutions.
##### MSC:
 35L72 Second-order quasilinear hyperbolic equations 35Q40 PDEs in connection with quantum mechanics
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