Blow-up of solutions to semilinear nonautonomous wave equations with Robin boundary conditions

DOI10.1134/S0001434619090050zbMath1435.35220arXiv1812.04595OpenAlexW2981413605MaRDI QIDQ2291192

Jamila Kalantarova

Publication date: 30 January 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04595

zbMATH Keywords

concavity methodweakly damped wave equationsaccelerating term

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• On the nonextendable solution and blow-up of the solution of the one-dimensional equation of ion-sound waves in a plasma
• Finite time blow up of the solutions to Boussinesq equation with linear restoring force and arbitrary positive energy
• Saddle points and instability of nonlinear hyperbolic equations
• Blow-up and critical exponents for nonlinear hyperbolic equations
• Blow-up theorems for nonlinear wave equations
• Blow-up of the solution of a nonlinear system of equations with positive energy
• Some Nonexistence Theorem for Initial-Boundary Value Problems with Nonlinear Boundary Constraints
• Explosive Instabilities in Mechanics
• Blow-Up in Nonlinear Equations of Mathematical Physics
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
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