A remark on global smooth solutions for quasilinear wave equations
Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type
A note on linear perturbations of oscillatory second order differential equations
Under suitable hypotheses on , , we prove some stability results which relate the asymptotic behavior of the solutions of to the asymptotic behavior of the solutions of .
Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems
We present some results on the formation of singularities for C^1 - solutions of the quasi-linear N × N strictly hyperbolic system Ut + A(U )Ux = 0 in [0, +∞) × Rx . Under certain weak non-linearity conditions (weaker than genuine non-linearity), we prove that the first order derivative of the solution blows-up in finite time.
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