Global solutions to kirchhoff equations with non-local nonlinearities defined by a potential

DOI10.1080/00036819808840641zbMath0893.35073OpenAlexW1986401072WikidataQ58287511 ScholiaQ58287511MaRDI QIDQ4354165

Renato Manfrin

Publication date: 13 September 1997

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819808840641

zbMATH Keywords

Kirchhoff equationsglobal solvabilitynon-local nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) First-order nonlinear hyperbolic equations (35L60)

Cites Work

• Global existence for nonlinear hyperbolic systems of Kirchhoff type
• On a global solution of some quasilinear hyperbolic equation
• A class of nonlinear hyperbolic problems with global solutions
• On the global solvability of symmetric hyperbolic systems of Kirchhoff type
• Some nonlinear degenerate wave equations
• On classical solutions of a quasilinear hyperbolic equation
• On local strong solutions of a nonlinear partial differential equation
• Global small solutions to Klein–Gordon-type equations with non-local non-linearities
• Nonlinear perturbations of the kirchhoff equation
• The Cauchy problem for Kirchhoff equations
• Generalized fourier transforms and global small solutions to kirchhoff equations
• Infinite Systems of Nonlinear Oscillation Equations with Linear Damping

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