Concepedia

Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms

L. Liu, Mengyang Wang

Nonlinear Analysis · 2005 · 27 citations · 10 references

DOI

Concepts

References

10

Saddle points and instability of nonlinear hyperbolic equations

L. E. Payne, D. H. Sattinger · Israel Journal of Mathematics · 1975 · 831 citations

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Instability and nonexistence of global solutions to nonlinear wave equations of the form 𝑃𝑢_{𝑡𝑡}=-𝐴𝑢+ℱ(𝓊)

Howard A. Levine · Transactions of the American Mathematical Society · 1974 · 700 citations · Full text

, , +17

Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms

Vladimir Georgiev, Grozdena Todorova · Journal of Differential Equations · 1994 · 583 citations

, , +15

Global Existence, Decay, and Blowup of Solutions for Some Mildly Degenerate Nonlinear Kirchhoff Strings

Kosuke Ono · Journal of Differential Equations · 1997 · 179 citations

, , +12

On Global Solutions and Energy Decay for the Wave Equations of Kirchhoff Type with Nonlinear Damping Terms

Tokio Matsuyama, Ryo Ikehata · Journal of Mathematical Analysis and Applications · 1996 · 116 citations

, , +15