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- W1997396571 abstract "We construct a family of singular solutions to some nonlinear partial differential equations which have resonances in the sense of a paper due to T.Kobayashi. The leading term of a solution in our family contains a logarithm, possibly multiplied by a monomial. As an application, we study nonlinear wave equations with quadratic nonlinearities. The proof is done by the reduction to a Fuchsian equation with singular coefficients." @default.
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- W1997396571 date "2008-04-01" @default.
- W1997396571 modified "2023-09-25" @default.
- W1997396571 title "Logarithmic singularities of solutions to nonlinear partial differential equations" @default.
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- W1997396571 doi "https://doi.org/10.2969/jmsj/06020603" @default.
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