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- W2952014952 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 by the reduction to a Fuchsian equation with singular coefficients." @default.
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- W2952014952 date "2007-03-29" @default.
- W2952014952 modified "2023-09-25" @default.
- W2952014952 title "Logarithmic singularities of solutions to nonlinear partial differential equations" @default.
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- W2952014952 doi "https://doi.org/10.48550/arxiv.math/0703870" @default.
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