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Fundamental solutions of products of Helmholtz and polyharmonic operators

✍ Scribed by A.H-D. Cheng; H. Antes; N. Ortner


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
294 KB
Volume
14
Category
Article
ISSN
0955-7997

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We consider the generalized Schro dinger operator &2++, where + is a nonnegative Radon measure in R n , n 3. Assuming that + satisfies certain scale-invariant Kato conditions and doubling conditions we establish the following bounds for the fundamental solution of &2++ in R n , where d(x, y, +) is