کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418469 | 1339335 | 2014 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A class of relatively bounded perturbations for generators of bounded analytic semigroups in Banach 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: A class of relatively bounded perturbations for generators of bounded analytic semigroups in Banach spaces A class of relatively bounded perturbations for generators of bounded analytic semigroups in Banach spaces](/preview/png/6418469.png)
چکیده انگلیسی
Generation of analytic semigroups on Banach space X by â(A+kB) is shown, where A is a negative generator of a bounded analytic semigroup on X, B is a closed operator in X belonging to a class related to A and kâC is a parameter satisfying Rek>c for some câR. The proof may be regarded as a modification of the perturbation argument established by Okazawa [8]. As applications, the generation of non-contractive analytic semigroups by Schrödinger operators with inverse square potentials in Lp(RN) is discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 416, Issue 2, 15 August 2014, Pages 855-861
Journal: Journal of Mathematical Analysis and Applications - Volume 416, Issue 2, 15 August 2014, Pages 855-861
نویسندگان
Motohiro Sobajima,