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arXiv 2001.03688math.AP
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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

Roberta Bianchini, Gigliola Staffilani

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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