کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899390 | 1631544 | 2018 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On a polynomial scalar perturbation of a Schrödinger system in Lp-spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On a polynomial scalar perturbation of a Schrödinger system in Lp-spaces On a polynomial scalar perturbation of a Schrödinger system in Lp-spaces](/preview/png/8899390.png)
چکیده انگلیسی
In the paper [10] the Lp-realization Lp of the matrix Schrödinger operator Lu=div(Qâu)+Vu was studied. The generation of a semigroup in Lp(Rd,Cm) and characterization of the domain D(Lp) has been established. In this paper we perturb the operator Lp by a scalar potential belonging to a class including all polynomials and show that still we have a strongly continuous semigroup on Lp(Rd,Cm) with domain embedded in W2,p(Rd,Cm). We also study the analyticity, compactness, positivity and ultracontractivity of the semigroup and prove Gaussian kernel estimates. Further kernel estimates and asymptotic behaviour of eigenvalues of the matrix Schrödinger operator are investigated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 466, Issue 1, 1 October 2018, Pages 655-675
Journal: Journal of Mathematical Analysis and Applications - Volume 466, Issue 1, 1 October 2018, Pages 655-675
نویسندگان
Abdallah Maichine, Abdelaziz Rhandi,