Logarithmic singularities of solutions to nonlinear partial differential equations
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概要
- 論文の詳細を見る
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.
- 社団法人 日本数学会の論文
- 2008-04-01
著者
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Tahara Hidetoshi
Department Of Cellular And Molecular Biology Graduate School Of Biomedical Sciences Hiroshima Univer
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Tahara Hidetoshi
Department Of Mathematics Sophia University
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YAMANE Hideshi
Department of Physics Kwansei Gakuin University
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Yamane Hideshi
Department Of Mathematical Sciences University Of Tokyo
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