Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions
نویسندگان
چکیده
منابع مشابه
Strichartz and Smoothing Estimates for Schrödinger Operators with Almost Critical Magnetic Potentials in Three and Higher Dimensions
In this paper we consider Schrödinger operators H = −∆+ i(A · ∇+∇ ·A) + V = −∆+ L in R, n ≥ 3. Under almost optimal conditions on A and V both in terms of decay and regularity we prove smoothing and Strichartz estimates, as well as a limiting absorption principle. For large gradient perturbations the latter is not an immediate corollary of the free case as T (λ) := L(−∆−(λ+i0)) is not small in ...
متن کاملStrichartz and Smoothing Estimates for Schrödinger Operators with Almost Critical Magnetic Potentials in Three and Higher Dimensions
In this paper we consider Schrödinger operators H = −∆ + i(A · ∇+∇ ·A) + V = −∆ + L in R, n ≥ 3. Under almost optimal conditions on A and V both in terms of decay and regularity we prove smoothing and Strichartz estimates, as well as a limiting absorption principle. For large gradient perturbations the latter is not an immediate corollary of the free case as T (λ) := L(−∆−(λ2+i0))−1 is not smal...
متن کاملA ug 2 00 6 STRICHARTZ AND SMOOTHING ESTIMATES FOR SCHRÖDINGER OPERATORS WITH LARGE MAGNETIC POTENTIALS IN
We show that the time evolution of the operator H = −∆ + i(A · ∇ + ∇ · A) + V in R 3 satisfies global Strichartz and smoothing estimates under suitable smoothness and decay assumptions on A and V but without any small-ness assumptions. We require that zero energy is neither an eigenvalue nor a resonance.
متن کاملStrichartz and Smoothing Estimates for Schrödinger Operators with Large Magnetic Potentials in R3
We show that the time evolution of the operator H = −∆ + i(A · ∇+∇ ·A) + V in R satisfies global Strichartz and smoothing estimates under suitable smoothness and decay assumptions on A and V but without any smallness assumptions. We require that zero energy is neither an eigenvalue nor a resonance.
متن کامل. A P ] 3 1 A ug 2 00 6 STRICHARTZ AND SMOOTHING ESTIMATES FOR SCHRÖDINGER OPERATORS WITH LARGE MAGNETIC POTENTIALS IN
We show that the time evolution of the operator H = −∆ + i(A · ∇ + ∇ · A) + V in R 3 satisfies global Strichartz and smoothing estimates under suitable smoothness and decay assumptions on A and V but without any small-ness assumptions. We require that zero energy is neither an eigenvalue nor a resonance.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2009
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum.2009.035