On blowing-up solutions for multi-time nonlinear hyperbolic equations and systems

DOI10.2298/FIL1709599AzbMath1488.35361OpenAlexW2204068908WikidataQ130140400 ScholiaQ130140400MaRDI QIDQ5157462

Bashir Ahmad, Eduardo Cuesta, Mukhtar Bin Muhammad Kirane, Ahmed Alsaedi

Publication date: 18 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1709599a

zbMATH Keywords

nonexistence of global solutionsnonlinear capacityfractional derivativetwo times hyperbolic equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Blow-up in context of PDEs (35B44)

Cites Work

• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Fractional quantum mechanics and Lévy path integrals
• Finite time blow up for critical wave equations in high dimensions
• The global Goursat problem and scattering for nonlinear wave equations
• Multitime Rayleigh Solitons
• The Goursat problem for the homogeneous wave equation
• The Goursat problem for Maxwell’s equations
• On determinism and well-posedness in multiple time dimensions
• A Nonlinear Model of Population Dynamics Containing an Arbitrary Number of Continuous Structure Variables
• Uniqueness in some quasi-Goursat problems in 3+1 dimensions and the inverse scattering problem
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