Well-posedness and blow-up of solutions for a variable exponent nonlinear Petrovsky equation

DOI10.1155/2023/8866861zbMATH Open1547.35122MaRDI QIDQ6593117

Ercan Çelik, Unnamed Author, Erhan Pişkin

Publication date: 26 August 2024

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

blow-up for negative initial energy

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)

Cites Work

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• Global versus local quantum correlations in the Grover search algorithm
• Lebesgue and Sobolev spaces with variable exponents
• Nonlinear damped wave equation: existence and blow-up
• Sur l'analyticité des solutions des systèmes d'équations différentielles.
• Über das Cauchysche Problem für Systeme von partiellen Differentialgleichungen.
• Electrorheological fluids: Modeling and mathematical theory
• Global existence and general decay for a nonlinear viscoelastic equation with nonlinear localized damping and velocity-dependent material density
• Global existence and uniform stabilization of a generalized dissipative Klein–Gordon equation type with boundary damping
• ON SOLVABILITY OF THE DISSIPATIVE KIRCHHOFF EQUATION WITH NONLINEAR BOUNDARY DAMPING
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Long time behavior of solutions to the damped forced generalized Ostrovsky equation below the energy space
• An Introduction to Sobolev Spaces
• Global existence and nonexistence in a system of Petrovsky
• Global existence, blow-up and optimal decay for a nonlinear viscoelastic equation with nonlinear damping and source term

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