𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Uniqueness of Generalized Schrödinger Operators, Part II

✍ Scribed by M. Rockner; T.S. Zhang


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
451 KB
Volume
119
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Uniqueness of Schrödinger Operators Rest
✍ Wu Liming 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 487 KB

Let S := &2Â2+V be the Schro dinger's operator defined on C 0 (D) where D is a (open) domain in R d . By means of the asymptotic behavior of V near the boundary D, we give the necessary and sufficient conditions to the essential Markovian selfadjointness of S for the nonnegative potential V, and to

On Fundamental Solutions of Generalized
✍ 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

Strong Uniqueness for Schrödinger Operat
✍ R. Regbaoui 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 359 KB

We prove a strong unique continuation result for Schrödinger inequalities, i.e., we obtain that a flat \(u\) so that \(|\Delta u| \leqslant|V u|\) should be zero, provided that \(V\) is a radial Kato potential. It gives an extension of a result by E. B. Fabes, N. Garofalo and F. H. Lin [3] who got a

Conditional Gaugeability and Subcritical
✍ Masayoshi Takeda 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 222 KB

We obtain a necessary and sufficient condition for conditional gaugeability and show the equivalence between conditional gaugeability and subcriticality of generalized Schrödinger type operators. We apply the condition to concrete examples.

Lp-Uniqueness of Schrödinger Operators a
✍ Liming Wu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 237 KB

We prove several L p -uniqueness results for Schro dinger operators &L+V by means of the Feynman Kac formula. Using the (m, p)-capacity theory for general Markov semigroups, we show that the associated Feynman Kac semigroup is positive improving in the sense of (m, p)-capacity, improving the well kn