ON GLOBAL SMOOTH SOLUTION FOR THE QUASI-LINEAR WAVE EQUATION WITH A DISSIPATION
Author:
Publisher
Faculty of Mathematics, Kyushu University
Subject
General Earth and Planetary Sciences,General Environmental Science
Link
https://www.jstage.jst.go.jp/article/kyushumfs/46/2/46_2_229/_pdf
Reference9 articles.
1. [1] Y. EBIHARA, On solutions of semilinear wave equations, Nonlinear Anal. T.M.A., 6 (1982), 467-486.
2. [2] T. KATO, Abstract differential equations and nonlinear mixed problems. Pisa, Scuola Normale Superiore, 1985.
3. [3] A. MATSUMURA, Global existence and asymptotics of the solutions of the second-ordre quasilinear hyperbolic equations with the first-order dissipation, Publ. R.I.M.S. Kyoto Univ., 13 (1977), 349-379.
4. [4] M. NAKAO, Convergence of solutions of the wave equation with nonlinear dissipative term to the steady state, Mem. Fac. Sci. Kyusyu Univ. Ser. A 30, No. 2 (1976), 257-265.
5. Existence of global classical solutions of the initial-boundary value problem for some nonlinear wave equations
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