Global quantitative stability of wave equations with strong and weak dampings

Saddle points and instability of nonlinear hyperbolic equations

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

Natural Sciences, Mathematics, Physics +13

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

Natural Sciences, Mathematics, Physics +15

Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

Carlos E. Kenig, Frank Merle · Acta Mathematica · 2008 · 530 citations · Full text

Natural Sciences, Physics, Acoustics +15

On global solution of nonlinear hyperbolic equations

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

Natural Sciences, Mathematics, Physics +13

Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

Howard A. Levine · SIAM Journal on Mathematical Analysis · 1974 · 398 citations

Natural Sciences, Mathematics, Dynamical Systems +8