Sponsored by
[ Events ]

Activity Search
Sort out
NCTS Differential Geometry Seminar
16:00 - 17:00, March 8, 2018 (Thursday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Maximum Principles for the Schroedinger Operator with Singular Potential
Augusto Ponce (Universite Catholique de Louvain, Belgium)


The Schroedinger operator in has been extensively studied for potentials in and even with any exponent .
Kato's inequality published in the Israel J. Math. in the 1970s was a major breakthrough in spectral problems by allowing one to consider potentials that are merely , and a few years later Ancona proved a version of the strong maximum principle up to sets of zero Newtonian capacity.
We present new counterparts of the strong maximum principle for on domains when is merely a nonnegative Borel function, and then  their connection to the existence of a distributional Green's function.


back to list  
 (C) 2018 National Center for Theoretical Sciences