Nonexistence theorems for singular solutions of quasilinear partial differential equations
β Scribed by Wei-Ming Ni; James Serrin
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 799 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
## 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 degene
## Abstract In this paper, we prove a trace regularity theorem for the solutions of general linear partial differential equations with smooth coefficients. Our result shows that by imposing additional microlocal smoothness along certain directions, the trace of the solution on a codimensionβone hyp