کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899846 1534065 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On precise center stable manifold theorems for certain reaction–diffusion and Klein–Gordon equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On precise center stable manifold theorems for certain reaction–diffusion and Klein–Gordon equations
چکیده انگلیسی

We consider positive, radial and exponentially decaying steady state solutions of the general reaction–diffusion and Klein–Gordon type equations and present an explicit construction of infinite-dimensional invariant manifolds in the vicinity of these solutions. The result is a precise stable manifold theorem for the reaction–diffusion equation and a precise center-stable manifold theorem for the Klein–Gordon equation, which include the co-dimension of the manifolds and the decay rates for even perturbations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issues 23–24, December 2009, Pages 2298–2307
نویسندگان
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