Premium
Gaussian bounds of heat kernels for Schrödinger operators on Riemannian manifolds
Author(s) -
Takeda Masayoshi
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdl016
Subject(s) - mathematics , heat kernel , riemannian manifold , gaussian , operator (biology) , kernel (algebra) , manifold (fluid mechanics) , schrödinger's cat , pure mathematics , class (philosophy) , gaussian measure , mathematical analysis , quantum mechanics , physics , mechanical engineering , biochemistry , chemistry , repressor , artificial intelligence , computer science , transcription factor , engineering , gene
Suppose that the heat kernel on a complete Riemannian manifold satisfies global Gaussian bounds. We consider a Schrödinger operator for which the potential is a signed measure in a certain Kato class, and we establish a necessary and sufficient condition that the heat kernel of the Schrödinger operator also possesses the global Gaussian bounds.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom