Roberta Bianchini, Gigliola Staffilani
Published 2020-01-10Version 1
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.
Stability of a class of semilinear waves in $2+1$ dimension under null condition
Initial-Boundary Problems for Semilinear Hyperbolic Systems with Singular Coefficients
The null condition in elastodynamics leads to non-uniqueness
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