论文信息 - Some nonlinear degenerate wave equations

Some nonlinear degenerate wave equations

On etudie la resolubilite locale du probleme aux valeurs limites et initiales suivant: ∂ 2 u/∂t 2 -m(∫ Ω |gradu(x,t)| 2 dx)Δu=0 dans Ω×[0,∞), u=0 sur ∂W+[0,∞], u(•,0)=¬0, ∂u/∂t(•,0)=ψ dans Ω, ou m(r) est une fonction C 1 non negative sur [0,∞), Ω un domaine borne de R N a frontiere lisse ∂W

Yoshio Yamada | Yoshio Yamada

[1] K. Nishihara. On a Global Solution of Some Quasilinear Hyperbolic Equation , 1984 .

[2] S. Pohožaev,et al. ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS , 1975 .

[3] Gustavo Perla Menzala,et al. On classical solutions of a quasilinear hyperbolic equation , 1979 .

[4] L. Medeiros,et al. Local soltutions for a nonlinear degenerate hyperbolic equation , 1986 .

[5] Ferruccio Colombini,et al. An example of a weakly hyperbolic Cauchy problem not well posed inC∞ , 1982 .

[6] O. Oleinik,et al. On the cauchy problem for weakly hyperbolic equations , 1970 .

[7] R. W. Dickey. Infinite systems of nonlinear oscillation equations related to the string , 1969 .

[8] Jacques-Louis Lions,et al. On Some Questions in Boundary Value Problems of Mathematical Physics , 1978 .

[9] J. Hale,et al. On local strong solutions of a nonlinear partial differential equation , 1980 .

[10] Yoshio Yamada,et al. On some quasilinear wave equations with dissipative terms , 1982, Nagoya Mathematical Journal.