## 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
A basis for the local solutions of an elliptic equation
β Scribed by S.A Fulling; F.J Narcowich
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 942 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Various classes of non-uniformly elliptic (and parabolic) equations of second order of the form for all solutions u ( x ) of which m a n Iuzl can be estimated by maxn [uI and m a a R JuxJ, were discussed in [I] (see also [2]).l The method used was introduced in [3]. In the same paper a method was s
Difierential Equations, and Its Application to the Study of the Local Behavior of Solutions of Elliptic Equations\* P. D. LAX -= ( D + K ( t ) ) u . dt In this paper we shall consider bounded perturbations. It turns out that if the norm of K ( t ) is not larger than the size of the gaps in the spec