On the damped nonlinear evolution equation wtt = σ(w)xx − ywt
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Analysis
Reference17 articles.
1. Exact solution for vibrations of a nonlinear continuous model string;Zabusky;J. Math. Phys.,1962
2. Development of singularities of solutions of nonlinear hyperbolic partical differential equations;Lax;J. Math. Phys.,1964
3. Existence and non-existence in the large of solutions of quasilinear wave equations;MacCamy;Arch. Rational Mech. Anal.,1967
4. Existence, uniqueness, and stability of solutions of the equation Utt = ∂∂x(σ(Ux) + λ(Ux)Uxt);MacCamy;Indiana Univ. Math.,1970
5. On the existence, uniqueness, and stability of solutions of the equation σ′(Ux)Uxx + λUxtx = ϱ0Utt;Greenberg;J. Math. Mech.,1968
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