Global existence and nonexistence of the initial–boundary value problem for the dissipative Boussinesq equation

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

British Association for the Advancement of Science

Chauncey D. Leake · Science · 1960 · 756 citations

Humanities, Science Education, Science Policy +1

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

Natural Sciences, Mathematics, Physics +17

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