Remarks on the Cauchy problem of Klein-Gordon equations with weighted nonlinear terms

DOI10.3934/DCDS.2015.35.4889zbMath1336.35208OpenAlexW2333989206MaRDI QIDQ255448

Hidemitsu Wadade, Michinori Ishiwata, Makoto Nakamura

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.4889

zbMATH Keywords

Brézis-Gallouët-Wainger inequalityCaffarelli-Kohn-Nirenberg inequalitylocal and global solutionsnonlinear terms with singular weightsweighted Trudinger-Moser inequality

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities ⋮ Finite time blowup for nonlinear Klein-Gordon equations with arbitrarily positive initial energy

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