Weakly Hyperbolic Systems by Symmetrization

F. Colombini; T. Nishitani; J. Rauch

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arXiv · 1508.03945

Weakly Hyperbolic Systems by Symmetrization

F. Colombini·T. Nishitani·J. Rauch

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Abstract

We study hyperbolic first order systems and propose a new method proving Gevrey well posedness, constructing a symmetrizer, motivated by a special Lyapunov function for linear ODE. The proof not only gives a priori estimates straightforward so simply but also clarifies some effects coming from the spectral structures other than the multiplicities of the eigenvalues.

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F. Colombini, T. Nishitani, J. Rauch. 2015-08-17. Weakly Hyperbolic Systems by Symmetrization. https://arxiv.org/abs/1508.03945

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