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Finitely smooth solutions of nonlinear singular partial differential equations

✍ Scribed by Masafumi Yoshino

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
291 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We solve a Fuchsian system of singular nonlinear partial differential equations with resonances. These equations have no smooth solutions in general. We show the solvability in a class of finitely smooth functions. Typical examples are a homology equation for a vector field and a degenerate Monge–AmpΓ¨re equation. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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