𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Fundamental solutions and mapping properties of semielliptic operators

✍ Scribed by G. N. Hile

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
274 KB
Volume
279
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

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 ℝ^n^ . Necessary and sufficient conditions are given for such a mapping to be an isomorphism. Results apply, for example, to elliptic, parabolic, and generalized p ‐parabolic operators. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

On Fundamental Solutions of Generalized
On Fundamental Solutions of Generalized Schrödinger Operators
✍ Zhongwei Shen 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 268 KB

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