کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616710 1631567 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Schrödinger-Boussinesq system with singular initial data
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the Schrödinger-Boussinesq system with singular initial data
چکیده انگلیسی
We study the existence of local and global solutions for coupled Schrödinger-Boussinesq systems with initial data in weak-Lr spaces. These spaces contain singular functions with infinite L2-mass such as homogeneous functions of negative degree. Moreover, we analyze the self-similarity and radial symmetry of solutions by considering initial data with the right homogeneity and radially symmetric, respectively. Since functions in weak-Lr with r>2 have local finite L2-mass, the solutions obtained can be physically realized. Moreover, for initial data in Hs, local solutions belong to Hs which shows that the constructed data-solution map in weak-Lr recovers Hs-regularity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 400, Issue 2, 15 April 2013, Pages 487-496
نویسندگان
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