Blow-up for one Sobolev problem: theoretical approach and numerical analysis

DOI10.1016/J.JMAA.2016.04.069zbMath1339.35061OpenAlexW2346677505MaRDI QIDQ294096

A. A. Panin, E. V. Yushkov, M. O. Korpusov, Dmitry V. Lukyanenko

Publication date: 9 June 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.04.069

zbMATH Keywords

Richardson extrapolationlocal solvabilitycontracting mappingglobal unsolvabilitynonclassical nonlocal boundary conditions

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

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Uses Software

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Cites Work

• Local solvability and solution blowup for the Benjamin-Bona-Mahony-Burgers equation with a nonlocal boundary condition
• Numerical diagnosis of blow-up of solutions of pseudoparabolic equations
• Interaction of Ion-Acoustic Solitons in Two-Dimensional Space
• Fréchet differential of a power series in Banach algebras
• Some general implicit processes for the numerical solution of differential equations
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