TY - JOUR
T1 - Non-accretive Schrödinger operators and exponential decay of their eigenfunctions
AU - Krejčiřík, D.
AU - Raymond, N.
AU - Royer, J.
AU - Siegl, Petr
N1 - Funding Information:
∗ The first author was supported by the project RVO61389005 and the GACR grant No. 14-06818S. ∗∗ The second author was supported by the IUF grant of S. Vu Ngo.c. † The fourth author was supported by the Swiss National Foundation, SNSF Am-bizione grant No. PZ00P2 154786. Received May 4, 2016 and in revised form September 26, 2016
Publisher Copyright:
© 2017, Hebrew University of Jerusalem.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - We consider non-self-adjoint electromagnetic Schrödinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Under a suitable sufficient condition on the electromagnetic potential, we introduce a Dirichlet realisation as a closed densely defined operator with non-empty resolvent set and show that the eigenfunctions corresponding to discrete eigenvalues satisfy an Agmon-type exponential decay.
AB - We consider non-self-adjoint electromagnetic Schrödinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Under a suitable sufficient condition on the electromagnetic potential, we introduce a Dirichlet realisation as a closed densely defined operator with non-empty resolvent set and show that the eigenfunctions corresponding to discrete eigenvalues satisfy an Agmon-type exponential decay.
UR - http://www.scopus.com/inward/record.url?scp=85029802037&partnerID=8YFLogxK
U2 - 10.1007/s11856-017-1574-z
DO - 10.1007/s11856-017-1574-z
M3 - Article
AN - SCOPUS:85029802037
SN - 0021-2172
VL - 221
SP - 779
EP - 802
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 2
ER -