Space-time \(L^2\)-estimates and life span of the Klainerman-Machedon radial solutions to some semi-linear wave equations.
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Publication:601587
zbMath1212.35316MaRDI QIDQ601587
Kazuyoshi Yokoyama, Kunio Hidano
Publication date: 28 October 2010
Published in: Differential and Integral Equations (Search for Journal in Brave)
Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)
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Lifespan of classical solutions to semilinear Neumann-wave equations ⋮ Weighted fractional chain rule and nonlinear wave equations with minimal regularity ⋮ Sharp local well-posedness for quasilinear wave equations with spherical symmetry ⋮ Global solutions to systems of quasilinear wave equations with low regularity data and applications ⋮ 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 ⋮ Space-time \(L^{2}\) estimates for elastic waves and applications ⋮ The Glassey conjecture with radially symmetric data ⋮ Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions ⋮ Space-time \(L^{2}\) estimates, regularity and almost global existence for elastic waves ⋮ On nonlinear elastic waves in 2-D
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