## Abstract In the investigation of the spectral theory of nonβselfadjoint elliptic boundary value problems involving an indefinite weight function, there arises the problem of obtaining __L^p^__ a priori estimates for solutions about points of discontinuity of the weight function. Here we deal wit
An A Priori Estimate for a Model Semi-Elliptic Differential Operator
β Scribed by V. Shevchik
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 116 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Recently [ 6 ] an existence as well as a uniqueness theorem for the discontinuous oblique derivative problem for nonlinear elliptic system of first order in the plane, see [12, 19, 231 wa.s proved, based on some a priori estimate from [ZO]. This estjmate, however, i Y deduced by reductio ad absurdum
## Abstract In this paper we prove subelliptic estimates for operators of the form Ξ__~x~ +__ Ξ»^2^ (__x__)__S__ in β__^N^__ = β Γ β, where the operator __S__ is an elliptic integro β differential operator in β__^N^__ and Ξ» is a nonnegative Lipschitz continuous function.
We present some new a priori estimates of the solutions to the second-order elliptic and parabolic interface problems. The novelty of these estimates lies in the explicit appearance of the discontinuous coefficients and the jumps of coefficients across the interface.