Asymptotic behaviors of radially symmetric solutions of \(\square u=| u| ^ p\) for super critical values \(p\) in odd space dimensions
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Publication:1900731
DOI10.14492/hokmj/1380892596zbMath0840.35063OpenAlexW2059974869MaRDI QIDQ1900731
Publication date: 23 October 1995
Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.14492/hokmj/1380892596
Scattering theory for PDEs (35P25) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)
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Finite time blow up for critical wave equations in high dimensions ⋮ Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations ⋮ Existence and asymptotic behavior of radially symmetric solutions to a semilinear hyperbolic system in odd space dimensions ⋮ Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data ⋮ On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions ⋮ The lifespan of radially symmetric solutions to nonlinear systems of odd dimensional wave equations ⋮ Blow-up theorem for semilinear wave equations with non-zero initial position ⋮ Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential
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