The Glassey conjecture on asymptotically flat manifolds

DOI10.1090/S0002-9947-2014-06423-4zbMath1330.35259arXiv1306.6254OpenAlexW2063013454WikidataQ123242328 ScholiaQ123242328MaRDI QIDQ2944830

Chuanfang Wang

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6254

zbMATH Keywords

asymptotically Euclidean manifoldlocal energy estimatesKSS estimate

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (13)

Finite time blow-up for a semilinear generalized Tricomi system with mixed nonlinearity ⋮ Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations ⋮ Blow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjecture ⋮ Weighted fractional chain rule and nonlinear wave equations with minimal regularity ⋮ Almost global existence for semilinear wave equations with mixed nonlinearities in four space dimensions ⋮ The Strauss Conjecture on Asymptotically Flat Space-Times ⋮ Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation ⋮ Global existence for some 4-D quasilinear wave equations with low regularity ⋮ Global existence for semilinear damped wave equations in relation with the Strauss conjecture ⋮ Lifespan of solutions to semilinear damping wave equations in De Sitter spacetime ⋮ Long-time existence for semilinear wave equations with the inverse-square potential ⋮ Blow up for small-amplitude semilinear wave equations with mixed nonlinearities on asymptotically Euclidean manifolds ⋮ The Glassey conjecture for nontrapping obstacles

Cites Work

• Unnamed Item
• Unnamed Item
• Price's law on nonstationary space-times
• Global parametrices and dispersive estimates for variable coefficient wave equations
• On almost global existence and local well posedness for some 3-D quasi-linear wave equations
• Concerning the Strauss conjecture on asymptotically Euclidean manifolds
• Blow-up of solutions to semilinear wave equations with variable coefficients and boundary
• Concerning the wave equation on asymptotically Euclidean manifolds
• The Glassey conjecture with radially symmetric data
• On the Morawetz--Keel-Smith-Sogge inequality for the wave equation on a curved background
• Almost global existence for some semilinear wave equations
• Existence of global solutions to nonlinear massless Dirac system and wave equation with small data
• On the Zakharov and Zakharov-Schulman systems
• The Strauss conjecture on Kerr black hole backgrounds
• Global existence of null-form wave equations on small asymptotically Euclidean manifolds
• Almost Global Existence for Some Semilinear Wave Equations with Almost Critical Regularity
• Weighted Strichartz estimates with angular regularity and their applications
• Global behavior of solutions to nonlinear wave equations in three dimensions
• A Remark on the Almost Global Existence Theorems of Keel, Smith and Sogge
• The Semilinear Wave Equation on Asymptotically Euclidean Manifolds
• On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles
• Finite-Time Blow-Up for in Two Space Dimensions
• Finite-time blow-up for nonlinear wave equations in high dimensions
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Dispersal of waves vanishing on the boundary of an exterior domain
• Global Strichartz Estimates for Nontrapping Geometries: About an Article by H. Smith and C. Sogge
• Global strichartz estimates for nonthapping perturbations of the laplacian
• Global existence and asymptotic behavior of solutions for nonlinear wave equations
• Local decay of waves on asymptotically flat stationary space-times
• Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods
• Time decay for the nonlinear Klein-Gordon equation
• Blow up of solutions to the Cauchy problem for nonlinear wave equations

This page was built for publication: The Glassey conjecture on asymptotically flat manifolds