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

A certain functional derivative equation corresponding to \(\square u+cu+bu^ 2+au^ 3=g\) on \(R^{d+1}\) (Q917818)

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scientific article; zbMATH DE number 4157148
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English
A certain functional derivative equation corresponding to \(\square u+cu+bu^ 2+au^ 3=g\) on \(R^{d+1}\)
scientific article; zbMATH DE number 4157148

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    A certain functional derivative equation corresponding to \(\square u+cu+bu^ 2+au^ 3=g\) on \(R^{d+1}\) (English)
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    1989
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    The author of this short note formulates two problems for functionals and measures, respectively, which are in some sense connected with the Klein- Gordon equation \[ \square u+cu+bu^ 2+au^ 3=g. \] He gives the corresponding notions of solution and conditions for solvability. Proofs are only sketched.
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    functional derivative equation
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    Klein-Gordon equation
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