کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418280 1339325 2014 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Attractors met X-elliptic operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Attractors met X-elliptic operators
چکیده انگلیسی

We consider degenerate parabolic and damped hyperbolic equations involving an operator L, that is X-elliptic with respect to a family of locally Lipschitz continuous vector fields X={X1,…,Xm}. The local well-posedness is established under subcritical growth restrictions on the nonlinearity f, which are determined by the geometry and functional setting naturally associated with the family of vector fields X. Assuming additionally that f is dissipative, the global existence of solutions follows, and we can characterize their longtime behavior using methods from the theory of infinite dimensional dynamical systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 420, Issue 1, 1 December 2014, Pages 407-434
نویسندگان
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