Global existence and exponential stability of small solutions to nonlinear viscoelasticity

Shuichi Kawashima, Yoshihiro Shibata

Type: Article

Publication Date: 1992-08-01

Citations: 114

DOI: https://doi.org/10.1007/bf02102372

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Communications in Mathematical Physics - View
Project Euclid (Cornell University) - View - PDF

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Works Cited by This (23)

Action	Title	Year	Authors
+	Some remarks on the equation $y\sbtt-\sigma (y\sbx)$ $y\sbxx-y\sbxtx=f$	1980	Yoshio Yamada
+ PDF Chat	On the Neumann problem for some linear hyperbolic systems of 2nd order with coeffcients in Sobolev spaces	1989	Yoshihiro Shibata
+ PDF Chat	The global existence of small amplitude solutions to the nonlinear acoustic wave equation	1993	Kiyoshi Mizohata Seiji Ukai
+	On the existence, uniqueness, and stability of solutions of the equation PP0Xtt = E(Xx)Xxx + κXxxt	1969	J. M. Greenberg
+	On the existence of solutions to the equation utt = uxxt + σ(ux)x	1980	Graham D.M. Andrews
+	On global regular solutions of third order partial differential equations	1980	Hartmut Pecher
+	On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition	1989	Yoshihiro Shibata Masahiro Kikuchi
+	Periodic solutions of nonlinear hyperbolic partial differential equations. II	1969	Paul H. Rabinowitz
+ PDF Chat	On global solutions for mixed problem of a semi-linear differential equation	1963	Reiko Arima Yôjirô Hasegawa
+	Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations	1967	Paul H. Rabinowitz