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arXiv · 2001.03688

Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition

Roberta Bianchini·Gigliola Staffilani
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Abstract

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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Roberta Bianchini, Gigliola Staffilani. 2020-01-10. Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition. https://arxiv.org/abs/2001.03688

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