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Asymptotic behaviour of a quasilinear hyperbolic equation with hysteresis. (English) Zbl 1132.35312

Summary: The paper deals with the asymptotic behaviour of the solution of a quasilinear hyperbolic equation with hysteresis. A stability result for solution in \(L^{1}(\Omega )\) is derived by the nonlinear semigroup approach.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35L60 First-order nonlinear hyperbolic equations
34C55 Hysteresis for ordinary differential equations
47J40 Equations with nonlinear hysteresis operators
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