Fundamental solutions of products of Helmholtz and polyharmonic operators
β 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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π SIMILAR VOLUMES
## Abstract An explicit formula is given for a fundamental solution for a class of semielliptic operators. The fundamental solution is used to investigate properties of these operators as mappings between weighted function spaces in β^__n__^ . Necessary and sufficient conditions are given for such
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