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Bounded positive solutions of Schrödinger equations

✍ Scribed by Zhaoyang Yin

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
327 KB
Volume
17
Category
Article
ISSN
0893-9659

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📜 SIMILAR VOLUMES

A Pointwise Lower Bound for Positive Sol
A Pointwise Lower Bound for Positive Solutions of a Schrödinger Equation in RN
✍ Bénédicte Alziary; Peter Takáč 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 734 KB

Strong positivity of the bounded inverse (&A) &1 of a Schro dinger operator &A=&2+q(x) v in L 2 (R N ) is proved in the following form: If &Au=f 0 in L 2 (R N ) with f 0, then u c. 1 a.e. in R N . Here, . 1 is the positive eigenfunction associated with the principal eigenvalue \* 1 of &A, and c is a