کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4612363 | 1338679 | 2006 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations](/preview/png/4612363.png)
چکیده انگلیسی
We study the convergence and decay rate to equilibrium of bounded solutions of the quasilinear parabolic equationut−diva(x,∇u)+f(x,u)=0ut−diva(x,∇u)+f(x,u)=0 on a bounded domain, subject to Dirichlet boundary and to initial conditions. The data are supposed to satisfy suitable regularity and growth conditions. Our approach to the convergence result and decay estimate is based on the Łojasiewicz–Simon gradient inequality which in the case of the semilinear heat equation is known to give optimal decay estimates. The abstract results and their applications are discussed also in the framework of Orlicz–Sobolev spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 228, Issue 2, 15 September 2006, Pages 611–632
Journal: Journal of Differential Equations - Volume 228, Issue 2, 15 September 2006, Pages 611–632
نویسندگان
Ralph Chill, Alberto Fiorenza,