Regularity of solutions of critical and subcritical nonlinear wave equations

DOI10.1016/0362-546X(94)90002-7zbMath0831.35108MaRDI QIDQ4289313

Jean Ginibre, Giorgio Velo

Publication date: 15 February 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

generalized Strichartz inequalitiesBesov space estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (14)

Unnamed Item ⋮ Weak and Yet Weaker Solutions of Semilinear Wave Equations ⋮ \(H^{s}\)-global well-posedness for semilinear wave equations ⋮ Global Existence with Large Data for a Nonlinear Weakly Hyperbolic Equation ⋮ Well-posedness in the energy space for nonlinear system of wave equations with critical growth ⋮ Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension ⋮ On the supercritical defocusing NLW outside a ball ⋮ On existence and uniqueness of solutions for semilinear fractional wave equations ⋮ Cauchy problem for semilinear wave equation with time-dependent metrics ⋮ The global Cauchy problem for the critical nonlinear wave equation ⋮ Uniqueness for critical nonlinear wave equations and wave maps via the energy inequality ⋮ Refined regularity for the blow-up set at non characteristic points for the vector-valued semilinear wave equation ⋮ Blow-up profile for the complex-valued semilinear wave equation ⋮ A modulation technique for the blow-up profile of the vector-valued semilinear wave equation

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