Asymptotic Behavior of Solutions of Hyperbolic Inequalities

DOI10.2307/1995848zbMath0214.10403OpenAlexW4255044999MaRDI QIDQ5616378

Amy Cohen Murray

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995848

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial differential inequalities and systems of partial differential inequalities (35R45) Hyperbolic equations and hyperbolic systems (35L99)

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Lower Bounds for Solutions of Hyperbolic Inequalities in Unbounded Regions ⋮ Uniqueness and growth of weak solutions to certain linear differential equations in Hilbert space ⋮ Some new uniqueness and continuous dependence results for evolutionary equations of indefinite type: The weighted energy method ⋮ Some uniqueness and growth theorems in the Cauchy problem for \(Pu_{tt}+Mu_t+Nu=0\) in Hilbert space ⋮ Lower bounds for solutions of hyperbolic inequalities on expanding domains ⋮ The asymptotic behavior of solutions of second order systems of partial differential equations

Cites Work

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• Decay and asymptotics for \(\square u = F(u)\)
• Lower Bounds for Solutions of Hyperbolic Inequalities
• Exponential decay of solutions of the wave equation
• Maximal rates of decay of solutions of partial differential equations