The Strauss Conjecture on Asymptotically Flat Space-Times

DOI10.1137/16M1074886zbMath1387.35416arXiv1605.02157WikidataQ122928389 ScholiaQ122928389MaRDI QIDQ4594918

Jason Metcalfe, Chuanfang Wang

Publication date: 27 November 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02157

zbMATH Keywords

Schwarzschild spacetimeKerr spacetimeweighted Strichartz estimateslocalized energy estimates

Mathematics Subject Classification ID

Black holes (83C57) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (14)

Almost global existence for semilinear wave equations with mixed nonlinearities in four space dimensions ⋮ Lifespan of solutions to the Strauss type wave system on asymptotically flat space-times ⋮ The blow up of solutions to semilinear wave equations on asymptotically Euclidean manifolds ⋮ Sharp local well-posedness for quasilinear wave equations with spherical symmetry ⋮ Global existence and lifespan for semilinear wave equations with mixed nonlinear terms ⋮ Lifespan estimates for semilinear wave equations with space dependent damping and potential ⋮ Global existence for a coupled wave system related to the Strauss conjecture ⋮ Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime ⋮ Blow-up of solutions to critical semilinear wave equations with variable coefficients ⋮ Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains ⋮ Lifespan estimate for semilinear wave equation in Schwarzschild spacetime ⋮ Global existence for semilinear damped wave equations in relation with the Strauss conjecture ⋮ Global existence for systems of quasilinear wave equations in (1 + 4)-dimensions ⋮ Long-time existence for semilinear wave equations with the inverse-square potential

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