On the existence and nonexistence of solutions of some quasilinear hyperbolic equations

DOI10.1134/S0012266111120056zbMath1243.35126MaRDI QIDQ416824

Pohozaev, Stanislav I.

Publication date: 10 May 2012

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

energy spacenonexistence of a global solution

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (1)

Lifespan of solutions to the damped wave equation with a critical nonlinearity

Cites Work

• Global nonexistence for abstract evolution equations with positive initial energy
• Variational Approach to Complicated Similarity Solutions of Higher Order Nonlinear Evolution Partial Differential Equations
• 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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