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Estimates on fundamental solutions of parabolic magnetic Schrodinger operators and uniform parabolic equations with nonnegative potentials and their applications.
- Source :
-
Proceedings of the American Mathematical Society . May2022, Vol. 150 Issue 5, p2059-2070. 12p. - Publication Year :
- 2022
-
Abstract
- We study the fundamental solutions of parabolic magnetic Schrödinger operators and uniform parabolic operators with nonnegative potentials in the reverse Hölder class. The main aim of the paper is to give pointwise estimates of the heat kernel of the operators above, which improve and generalize the main results by Kurata [J. London Math. Soc. (2) 62 (2000), pp. 885–903]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PARABOLIC operators
*SCHRODINGER operator
*EQUATIONS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 150
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 155683844
- Full Text :
- https://doi.org/10.1090/proc/15798