A Sturm-Liouville theorem is proved for quadratic operator pencils to count unstable real roots, with applications to wave stability.
Zumbrun, Stability and dynamics of viscous shock waves, Nonlinear conservation laws and applications, 123–167, IMA Vol
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A Sturm Liouville theorem for quadratic operator pencils
A Sturm-Liouville theorem is proved for quadratic operator pencils to count unstable real roots, with applications to wave stability.