Generalized Strichartz estimates on perturbed wave equation and applications on Strauss conjecture.

zbMath1249.35224arXiv0905.0038MaRDI QIDQ415311

Xin Yu

Publication date: 11 May 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.0038

zbMATH Keywords

Laplace-Beltrami operatorStrichartz estimatewave operatorStrauss conjecture

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Second-order semilinear hyperbolic equations (35L71) PDEs on manifolds (35R01)

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Nonexistence of global solutions to critical semilinear wave equations in exterior domain in high dimensions ⋮ Blow up for initial boundary value problem of critical semilinear wave equation in two space dimensions ⋮ Lifespan estimates for critical semilinear wave equations and scale invariant damped wave equations in exterior domain in high dimensions ⋮ Global existence for a coupled wave system related to the Strauss conjecture ⋮ Blow up of solutions to nonlinear wave equation in \(2D\) exterior domains ⋮ Blow-up of solutions to critical semilinear wave equations with variable coefficients ⋮ Finite time blow up to critical semilinear wave equation outside the ball in 3-D ⋮ Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains ⋮ The Strauss conjecture on Kerr black hole backgrounds ⋮ Finite time blowup of solutions to semilinear wave equation in an exterior domain

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