Global nonexistence for a semilinear Petrovsky equation
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Publication:1009636
DOI10.1016/j.na.2008.04.024zbMath1157.35324OpenAlexW2060849229MaRDI QIDQ1009636
Publication date: 2 April 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.04.024
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Cites Work
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- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type
- Global nonexistence theorems for a class of evolution equations with dissipation
- A blow up result for a nonlinear wave equation with damping and vanishing initial energy in \(\mathbb R^N\)
- A Uniform Asymptotic Turning Point Theory for Second Order Linear Ordinary Differential Equations
- Global existence and nonexistence for a nonlinear wave equation with damping and source terms
- Global existence and nonexistence in a system of Petrovsky