Lifespan of solutions to the Strauss type wave system on asymptotically flat space-times

DOI10.3934/dcds.2020208zbMath1441.58014arXiv2010.04309OpenAlexW3021847073MaRDI QIDQ2187877

Yanyan Li

Publication date: 3 June 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04309

zbMATH Keywords

lifespanStrauss conjectureweighted Strichartz estimateslocal energy estimatesasymptotically flat space-time

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45) Second-order semilinear hyperbolic equations (35L71)

Related Items

Global existence and blow up for systems of nonlinear wave equations related to the weak null condition ⋮ Lifespan estimates for semilinear wave equations with space dependent damping and potential ⋮ Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime

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