Kernel estimates for Schrodinger operators

被引:11
作者
Metafune, G.
Pallara, D.
Rhandi, A.
机构
[1] Univ Lecce, Dipartimento Matemat Ennio De Giorgi, I-73100 Lecce, Italy
[2] Cadi Ayyad Univ, Fac Sci Semlalia, Dept Math, Marrakech 40000, Morocco
关键词
heat kernels; Schrodinger operators; parabolic regularity;
D O I
10.1007/s00028-006-0259-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove short time estimates for the heat kernel of Schrodinger operators with unbounded potential in R-N.
引用
收藏
页码:433 / 457
页数:25
相关论文
共 15 条
[1]  
Arendt W, 2006, J OPERAT THEOR, V55, P185
[2]   ULTRACONTRACTIVITY AND THE HEAT KERNEL FOR SCHRODINGER-OPERATORS AND DIRICHLET LAPLACIANS [J].
DAVIES, EB ;
SIMON, B .
JOURNAL OF FUNCTIONAL ANALYSIS, 1984, 59 (02) :335-395
[3]  
Davies EB., 1989, HEAT KERNELS SPECTRA, DOI 10.1017/CBO9780511566158
[4]  
KRYLOV NV, 1996, GRAD STUDIES MATH, V12
[5]   An estimate on the heat kernel of magnetic Schrodinger operators and uniformly elliptic operators with non-negative potentials [J].
Kurata, K .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 62 :885-903
[6]  
Ladyzhenskaya O., 1968, LINEAR QUASILINEAR E, DOI DOI 10.1090/MMONO/023
[7]   Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients [J].
Liskevich, V ;
Sobol, Z .
POTENTIAL ANALYSIS, 2003, 18 (04) :359-390
[8]  
Metafune G, 2005, ADV DIFFERENTIAL EQU, V10, P1131
[9]   Global properties of invariant measures [J].
Metafune, G ;
Pallara, D ;
Rhandi, A .
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 223 (02) :396-424
[10]   Feller semigroups on RN [J].
Metafune, G ;
Pallara, D ;
Wacker, M .
SEMIGROUP FORUM, 2002, 65 (02) :159-205