Well- and Ill-posedness Issues for a Class of 2D Wave Equation with Exponential Growth

DOI10.4208/jpde.v24.n4.7zbMath1265.35192OpenAlexW3147489222WikidataQ115210660 ScholiaQ115210660MaRDI QIDQ2918169

Olfa Mahouachi, Tarek Saanouni

Publication date: 5 October 2012

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

Full work available at URL: https://doi.org/10.4208/jpde.v24.n4.7

zbMATH Keywords

well-posednessnonlinear wave equationill-posednessfinite speed of propagationMoser-Trudinger inequality

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Blow-up in context of PDEs (35B44)

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