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Saddle points and instability of nonlinear hyperbolic equations. (English) Zbl 0317.35059

MSC:
35L60 First-order nonlinear hyperbolic equations
35B35 Stability in context of PDEs
35D05 Existence of generalized solutions of PDE (MSC2000)
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
47J05 Equations involving nonlinear operators (general)
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