TY - JOUR
T1 - Regularity and Decay of Solutions to the Stark Evolution Equation
AU - Ben-Artzi, M.
AU - Devinatz, A.
PY - 1998/4/20
Y1 - 1998/4/20
N2 - Long-time behavior and regularity are studied for solutions of the Stark equationut=i(-Δ-x1+V(x))u,u(0,x)∈L 2(Rn). It is shown that for a class of short-range potentialsV(x) the gain of local smoothness and the decay as t→∞ are close to those of the corresponding Schrödinger equationut=i(-Δ+V(x))u.
AB - Long-time behavior and regularity are studied for solutions of the Stark equationut=i(-Δ-x1+V(x))u,u(0,x)∈L 2(Rn). It is shown that for a class of short-range potentialsV(x) the gain of local smoothness and the decay as t→∞ are close to those of the corresponding Schrödinger equationut=i(-Δ+V(x))u.
KW - Stark Hamiltonian, global regularity, long-time decay
UR - http://www.scopus.com/inward/record.url?scp=0008847729&partnerID=8YFLogxK
U2 - 10.1006/jfan.1997.3211
DO - 10.1006/jfan.1997.3211
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AN - SCOPUS:0008847729
SN - 0022-1236
VL - 154
SP - 501
EP - 512
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -