Global existence and blow-up for the generalized sixth-order Boussinesq equation

Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations

Robert S. Strichartz · Duke Mathematical Journal · 1977 · 1.3K citations

Natural Sciences, Mathematics, Physics +16

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

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

Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)

Howard A. Levine · Archive for Rational Mechanics and Analysis · 1973 · 577 citations

Natural Sciences, Mathematics, Physics +10

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