The solution of elliptic and vorticity equations on a sphere is studied using double Fourier series as orthogonal basis functions. The basis functions incorporate sine series weighted by cosine latitude as meridional basis functions for even zonal wavenumbers other than zero to meet the pole conditi
On harnack type inequalities and their application to quasilinear elliptic equations
β Scribed by Neil S. Trudinger
- Publisher
- John Wiley and Sons
- Year
- 1967
- Tongue
- English
- Weight
- 987 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
H 0 and one can use the Neumann series β Ξ½=0 (I -L L) Ξ½ L f in order to study solvability of the operator equation Lu = f . In particular, applying this method to the ill -posed Cauchy problem for solutions to an elliptic system P u = 0 of linear PDE's of order p with smooth coefficients we obtain
## Abstract An abstract version of Besov spaces is introduced by using the resolvent of nonnegative operators. Interpolation inequalities with respect to abstract Besov spaces and generalized Lorentz spaces are obtained. These inequalities provide a generalization of Sobolev inequalities of logarit
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