Non-existence of global solutions to nonlinear wave equations with positive initial energy

DOI10.3934/cpaa.2018048zbMath1394.35053OpenAlexW2784869718MaRDI QIDQ1659577

Bilgesu A. Bilgin, Varga K. Kalantarov

Publication date: 22 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018048

zbMATH Keywords

concavity methodblow uppositive energydifferential operator equationglobal non-existence

Mathematics Subject Classification ID

PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items

Global strong solution of fourth order nonlinear wave equation ⋮ Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities ⋮ Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients ⋮ Blow-up in damped abstract nonlinear equations ⋮ Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source ⋮ Blow-up of solutions of nonclassical nonlocal nonlinear model equations

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