Almost global existence for semilinear wave equations with mixed nonlinearities in four space dimensions

DOI10.1016/j.jmaa.2017.10.058zbMath1394.35286OpenAlexW2766296977MaRDI QIDQ1684710

Hao Zhou, Chuanfang Wang

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.058

zbMATH Keywords

Glassey conjectureStrauss conjectureKSS estimateslocal energy estimates

Mathematics Subject Classification ID

Second-order semilinear hyperbolic equations (35L71)

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Cites Work

• Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations
• Price's law on nonstationary space-times
• On almost global existence and local well posedness for some 3-D quasi-linear wave equations
• The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions
• The Glassey conjecture with radially symmetric data
• Almost global existence for some semilinear wave equations
• Existence of global solutions to nonlinear massless Dirac system and wave equation with small data
• Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions
• The Strauss conjecture on Kerr black hole backgrounds
• Blow Up for Some Semilinear Wave Equations in Multi-space Dimensions
• The Glassey conjecture on asymptotically flat manifolds
• Weighted Strichartz estimates with angular regularity and their applications
• The Strauss Conjecture on Asymptotically Flat Space-Times
• Long-time existence for semilinear wave equations on asymptotically flat space-times
• Long-time existence for small amplitude semilinear wave equations
• A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions
• Global existence and asymptotic behavior of solutions for nonlinear wave equations
• Recent works on the Strauss conjecture
• Life-Span of Solutions to Critical Semilinear Wave Equations
• Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods
• Exponential decay of solutions of the wave equation
• Blow up of solutions to the Cauchy problem for nonlinear wave equations
• Unnamed Item

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