Event № 618
Event № 618
TE
PDE and Applied Mathematics Seminar
- Augusto Ponce (Université Catholique de Louvain)
02/01/2018, Tuesday, 14:30
Type: Seminar
Name: PDE and Applied Mathematics Seminar
Title: Maximum principles for the Schrödinger operator with singular potential
Speaker: Augusto Ponce (Université Catholique de Louvain)
Place:
Amado 814, Technion
Abstract:
The Schrödinger operator $-\Delta + V$ in $R^{N}$ has been extensively studied for potentials in $L^{\infty}$ and even $L^{p}$ with any exponent $p > N/2$.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 $V$ that are merely $L^{1}$.We present new counterparts of the strong maximum principle and Hopf's boundary lemma for $-\Delta + V$ on domains when $V$ has a singular behaviour.
Abstract in PDF format attached
Files:
Abstract-APonce
SubmittedBy:
Seminar/Colloquium Moderator
EventLink: Event № 618