Concepedia

A class of fourth order wave equations with dissipative and nonlinear strain terms

Yacheng Liu, Runzhang Xu

Journal of Differential Equations · 2007 · 63 citations · 29 references

DOI

Concepts

References

29

Saddle points and instability of nonlinear hyperbolic equations

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

, , +13

On global solution of nonlinear hyperbolic equations

D. H. Sattinger · Archive for Rational Mechanics and Analysis · 1968 · 469 citations

, , +13

Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction

Marcelo M. Cavalcanti, V. N. Domingos Cavalcanti, Irena Lasiecka · Journal of Differential Equations · 2007 · 268 citations

, , +16

Global solutions and finite time blow up for damped semilinear wave equations

Filippo Gazzola, Marco Squassina · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2005 · 261 citations · Full text

, , +15

Existence and Nonexistence of Global Solutions for Nonlinear Parabolic Equations

Masayoshi Tsutsumi · Publications of the Research Institute for Mathematical Sciences · 1972 · 195 citations · Full text

, , +11