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On global existence and asymptotic stability of solutions of mildly degenerate dissipative nonlinear wave equations of Kirchhoff type

Article type: Research Article

Authors: Ono, Kosuke

Affiliations: Department of Mathematical and Natural Sciences, Faculty of Integrated Arts and Sciences, The University of Tokushima, 770‐8502, Japan E‐mail: [email protected]‐u.ac.jp

Abstract: We consider the global existence and asymptotic stability of solutions to the Cauchy problem for degenerate nonlinear wave equations of Kirchhoff type with a dissipative term in unbounded domain. We derive the sharp decay estimates of the solution and its derivatives. Moreover, we show that the solution has a lower decay estimate of some algebraic rate.

Journal: Asymptotic Analysis, vol. 16, no. 3-4, pp. 299-314, 1998

Received 24 February 1997
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Published: 1998
Price: EUR 27.50
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