Some Estimates of Schrödinger-Type Operators with Certain Nonnegative Potentials | Zendy

Yu Liu | Zendy; Youzheng Ding | Zendy

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Some Estimates of Schrödinger-Type Operators with Certain Nonnegative Potentials

Author(s) -

Yu Liu,

Youzheng Ding

Publication year - 2008

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2008/214030

Subject(s) - mathematics , operator (biology) , type (biology) , schrödinger's cat , class (philosophy) , combinatorics , pure mathematics , mathematical analysis , mathematical physics , chemistry , computer science , ecology , biochemistry , repressor , artificial intelligence , biology , transcription factor , gene

We consider the Schrödinger-type operator H=(−Δ)2+V2, where the nonnegative potential V belongs to the reverse Hölder class Bq1 for q1≥n/2, n≥5. The Lp estimates of the operator ∇4H−1 related to H are obtained when V∈Bq1 and 1

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