Long-time existence for semilinear wave equations on asymptotically flat space-times

DOI10.1080/03605302.2017.1345939zbMath1391.35281arXiv1504.05652OpenAlexW1521607275MaRDI QIDQ4598318

Chuanfang Wang

Publication date: 20 December 2017

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05652

zbMATH Keywords

Strauss conjectureSchwarzschild space-timeKerr space-timeKSS estimatesweighted Strichartz estimateslocal energy estimates

Mathematics Subject Classification ID

Black holes (83C57) Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45) Second-order semilinear hyperbolic equations (35L71)

Related Items (16)

Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations ⋮ Lifespan of classical solutions to semilinear Neumann-wave equations ⋮ 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 ⋮ Lifespan estimates for critical semilinear wave equations and scale invariant damped wave equations in exterior domain in high dimensions ⋮ Sharp local well-posedness for quasilinear wave equations with spherical symmetry ⋮ 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 and finite time blow up for the weighted semilinear wave equation ⋮ Blowup for semilinear wave equation with space-dependent damping and combined nonlinearities

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