On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source

DOI10.1007/s00526-008-0188-zzbMath1172.35043OpenAlexW2111947576WikidataQ115387611 ScholiaQ115387611MaRDI QIDQ1006425

Marcelo Moreira Cavalcanti, Claudianor Oliveira Alves

Publication date: 24 March 2009

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-008-0188-z

zbMATH Keywords

global existenceblow upTrudinger-Moser inequalitydamped wave equationNehari manifold

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

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