Nonexistence of global solutions to semilinear wave equations in high dimensions

Formulas and Theorems for the Special Functions of Mathematical Physics

Wilhelm Magnus, Fritz Oberhettinger, Raj Pal Soni et al. · American Journal of Physics · 1967 · 949 citations · Full text

Generalized Function, Physics, Potential Theory +5

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 · 695 citations · Full text

Existence and non-existence of global solutions for a semilinear heat equation

Fred B. Weissler · Israel Journal of Mathematics · 1981 · 591 citations

Elliptic Equation, Engineering, Parabolic Equation +6

Nonlinear scattering theory at low energy

Walter A. Strauss · Journal of Functional Analysis · 1981 · 522 citations

Physics, Wave Scattering, High-frequency Approximation +2

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

Fritz John · manuscripta mathematica · 1979 · 506 citations

Space Dimensions, Nonlinear Wave Propagation, Nonlinear Equation +3