Global Regularity For The Nonlinear Wave Equation With Slightly Supercritical Power

Colombo, MariaHaffter, Silja2023-07-172023-07-172023-07-172023-01-0110.2140/apde.2023.16.613https://infoscience.epfl.ch/handle/20.500.14299/199102WOS:001017078200001We consider the defocusing nonlinear wave equation ❑u D jujp ⠀1u in R3 ⠂ & UOELIG;0; 1/. We prove that for any initial datum with a scaling-subcritical norm bounded by M0 the equation is globally well-posed for p D 5 C i, where i 2 .0; i0.M0//.Mathematics, AppliedMathematicsnonlinear wave equationglobal regularitysupercritical equationexistenceGlobal Regularity For The Nonlinear Wave Equation With Slightly Supercritical Powertext::journal::journal article::research article