Blow‐up for quasi‐linear wave equations in three space dimensions

The Cauchy problem for quasi-linear symmetric hyperbolic systems

Tosio Kato · Archive for Rational Mechanics and Analysis · 1975 · 920 citations

Natural Sciences, Mathematics, Differential Equations +12

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

Fritz John · manuscripta mathematica · 1979 · 515 citations

Natural Sciences, Mathematics, Physics +11

Global existence for nonlinear wave equations

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

Natural Sciences, Mathematics, Physics +14

Formation of singularities in one‐dimensional nonlinear wave propagation

Fritz John · Communications on Pure and Applied Mathematics · 1974 · 409 citations

Natural Sciences, Physics, Propagation +9

Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity

Thomas J.R. Hughes, Tosio Kato, Jerrold E. Marsden · Archive for Rational Mechanics and Analysis · 1977 · 396 citations

Natural Sciences, Mathematics, Physics +10