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Global approximation theorems for some exponential-type operators

✍ Scribed by Kunio Satô


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
493 KB
Volume
32
Category
Article
ISSN
0021-9045

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Let L(D) be an elliptic linear partial differential operator with constant coefficients and only highest order terms. For compact sets K/R N whose complements are John domains we prove a quantitative Runge theorem: if a function f satisfies L(D) f=0 on a fixed neighborhood of K, we estimate the sup-