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A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations

✍ Scribed by P. D. Lax

Publisher
John Wiley and Sons
Year
1956
Tongue
English
Weight
957 KB
Volume
9
Category
Article
ISSN
0010-3640

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✦ Synopsis

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 spectrum of

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## Abstract In this article, we introduce a type of basis functions to approximate a set of scattered data. Each of the basis functions is in the form of a truncated series over some orthogonal system of eigenfunctions. In particular, the trigonometric eigenfunctions are used. We test our basis fun