半线性双曲型方程组零条件下Tartar结果的修正
Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition
摘要:
我们重新回顾了Tartar提出的一种方法,证明了一维空间中具有零二次源的半线性双曲系统的整体适定性。值得注意的一点是,由于一维双曲系统没有色散效应,Tartar的方法完全基于空间局部化和有限的传播速度。
英文摘要:
We revisit a method introduced by Tartar for proving global well-posedness of a semilinear hyperbolic system with null quadratic source in one space dimension. A remarkable point is that, since no dispersion effect is available for 1D hyperbolic systems, Tartar's approach is entirely based on spatial localization and finite speed of propagation.
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