Abstract
We present a Frobenius type theorem for a system of nonlinear partial differential equations. Typical application is the normal form theory of a singular vector field. The construction of a singular solution is closely related with a Riemann-Hilbert factorization.
Citation
Akira SHIRAI. Masafumi YOSHINO. "Singular solutions of nonlinear partial differential equations with resonances." J. Math. Soc. Japan 60 (1) 237 - 263, January, 2008. https://doi.org/10.2969/jmsj/06010237
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