Cauchy problem of the generalized double dispersion equation
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Publication:2581707
DOI10.1016/j.na.2005.06.017zbMath1092.35056OpenAlexW2070078560MaRDI QIDQ2581707
Publication date: 10 January 2006
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.2005.06.017
Navier-Stokes equations (35Q30) Initial value problems for higher-order hyperbolic equations (35L30)
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Cites Work
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- Unnamed Item
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- Unnamed Item
- A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- The initial value problem for a generalized Boussinesq equation.
- Small amplitude solutions of the generalized IMBq equation.
- Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
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