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

DOI10.1073/pnas.76.4.1559zbMath0397.35046OpenAlexW2025175709WikidataQ37326020 ScholiaQ37326020MaRDI QIDQ4180677

Fritz John

Publication date: 1979

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.76.4.1559

zbMATH Keywords

Nonlinear Wave EquationsBlow-Up Solutions

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)

Related Items

Blow up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to the Simons cone, Global solutions for 2D quadratic Schrödinger equations, Type II Blow up Manifolds for the Energy Supercritical Semilinear Wave Equation, Blowup of smooth solutions of a class of complex conservation laws, Nonexistence of solutions for quasilinear hyperbolic inequalities, Global stability for nonlinear wave equations with multi-localized initial data, Blow-up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to a Simons cone