A certain functional derivative equation corresponding to \(\square u+cu+bu^ 2+au^ 3=g\) on \(R^{d+1}\)

DOI10.3792/pjaa.65.35zbMath0705.35148OpenAlexW2076835823MaRDI QIDQ917818

Atsushi Inoue

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.35

zbMATH Keywords

Klein-Gordon equationfunctional derivative equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (2)

Application of functional derivatives to analysis of complex systems ⋮ On Hopf type functional derivative equations for \(\square{} u+cu+bu^ 2+au^ 3 = 0\) on \(\Omega{} \times{} R\). I: Existence of solutions

Cites Work

• Strong and classical solutions of the Hopf equation - an example of functional derivative equation of second order
• Statistical study of Navier-Stokes equations. I
• On the solvability of the Cauchy problem for the Hopf equation corresponding to a nonlinear hyperbolic equation

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