On the unique continuation property of elliptic divergence form equations in the plane
β Scribed by Friedmar Schulz
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- French
- Weight
- 98 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
We consider nonlinear elliptic differential equations of second order in two variables F (x, y, z(x, y), z x (x, y), . . . , z yy (x, y)) = 0, (x, y) β β R 2 . Supposing analyticity of F , we prove analyticity of the real solution z = z(x, y) in the open set . Furthermore, we show that z may be cont
In this paper we prove theorems on propagation of smallness and the uniqueness of solutions to some elliptic equations in the plane. We start with analogues of these theorems for harmonic functions and use their quasiinvariance under quasiconformal mappings as well as the connection of considered eq