Mildly degenerate Kirchhoff equations with weak dissipation: global existence and time decay
نویسندگان
چکیده
We consider the hyperbolic-parabolic singular perturbation problem for a degenerate quasilinear Kirchhoff equation with weak dissipation. This means that the coefficient of the dissipative term tends to zero when t → +∞. We prove that the hyperbolic problem has a unique global solution for suitable values of the parameters. We also prove that the solution decays to zero, as t → +∞, with the same rate of the solution of the limit problem of parabolic type. Mathematics Subject Classification 2000 (MSC2000): 35B25, 35B40, 35L70, 35L80.
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