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The maximum dissipative extension of Schrödinger operator

✍ Scribed by Tian Li-xin

Publisher
Springer
Year
1994
Tongue
English
Weight
301 KB
Volume
15
Category
Article
ISSN
0253-4827

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An Extension of Maximum and Anti-Maximum
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✍ Bénédicte Alziary; Jacqueline Fleckinger-Pellé; Peter Takáč 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 228 KB

Strong maximum and anti-maximum principles are extended to weak L 2 (R 2 )solutions u of the Schro dinger equation &2u+q(x) u&\*u= f (x) in L 2 (R 2 ) in the following form: Let . 1 denote the positive eigenfunction associated with the principal eigenvalue \* 1 of the Schro dinger operator A=&2+q(x)