Existence and nonexistence of global solutions of some system of semilinear wave equations

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

Blow-up of solutions of nonlinear wave equations in three space dimensions

Fritz John · manuscripta mathematica · 1979 · 515 citations

Natural Sciences, Mathematics, Physics +11

Non-Linear Semi-Groups

I. E. Segal · Annals of Mathematics · 1963 · 490 citations

Global existence for nonlinear wave equations

Sergiù Klainerman · Communications on Pure and Applied Mathematics · 1980 · 419 citations

Natural Sciences, Mathematics, Physics +14

The global Cauchy problem for the non linear Klein-Gordon equation

J. Ginibre, G. Velo · Mathematische Zeitschrift · 1985 · 330 citations

Natural Sciences, Mathematics, Physics +13