کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10138876 1645911 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of global solutions for a class of vector fields on the three-dimensional torus
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Existence of global solutions for a class of vector fields on the three-dimensional torus
چکیده انگلیسی
This work deals with global solvability of a class of vector fields of the form L=∂/∂t+(a(x)+ib(x))(∂/∂x+λ∂/∂y), where a,b∈C∞(T1,R) and λ∈R, defined on the three-dimensional torus T3(x,y,t)≃R3/2πZ3. In addition to the interplay between the order of vanishing of the functions a and b, the change of sign of b between two consecutive zeros of a+ib has influence in the global solvability. Also, a Diophantine condition appears in a natural way in our results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Bulletin des Sciences Mathématiques - Volume 148, October 2018, Pages 53-76
نویسندگان
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