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Sharp decay estimates of solutions for mildly degenerate dissipative Kirchhoff equations. (English) Zbl 0910.35024
The paper dals with estimates of solutions to the initial-boundary value problem for mildly degenerate dissipative Kirchhoff equations. The purpose of the paper is to improve the decay estimates of the solution. In order to prove such sharp decay estimates, new differential equalities associated with the Kirchhoff equation are used.
Reviewer: L.Vazquez (Madrid)

MSC:
35B45 A priori estimates in context of PDEs
35L70 Second-order nonlinear hyperbolic equations
35B40 Asymptotic behavior of solutions to PDEs
35L80 Degenerate hyperbolic equations
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