Concepedia

On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms

Wenjun Liu, Jun Yu

Nonlinear Analysis · 2010 · 62 citations · 39 references

DOI

Concepts

References

39

Saddle points and instability of nonlinear hyperbolic equations

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

, , +13

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

Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping

Communications in Partial Differential Equations · 1990 · 467 citations

, , +11

Frictional versus Viscoelastic Damping in a Semilinear Wave Equation

Marcelo M. Cavalcanti, Higidio Portillo Oquendo · SIAM Journal on Control and Optimization · 2003 · 399 citations

, , +13