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Zbl 0960.35070
Hajouj, Brahim
Singular perturbations of second order nonlinear hyperbolic equations. (Perturbations singulières d'équations hyperboliques du second ordre non linéaires.) (French. English summary)
[J] Ann. Math. Blaise Pascal 7, No.1, 1-22 (2000). ISSN 1259-1734

Summary: The behavior, when $\varepsilon\to 0_+$, of the solution of an hyperbolic variational equation relative to the degenerate operator $L_\varepsilon$ defined by: $$L_\varepsilon v=\varepsilon k(x,t,v) v''-\Delta v+ \gamma|v'|^\rho v'+\alpha v'+ \beta{\partial v\over\partial x}- f=0$$ is considered.

MSC 2000:: *35L80 Hyperbolic equations of degenerate type
35L70 Second order nonlinear hyperbolic equations
35L20 Second order hyperbolic equations, boundary value problems
35C20 Asymptotic expansions of solutions of PDE
35B25 Singular perturbations (PDE)

Keywords: hyperbolic variational equation

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