کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4613491 | 1338753 | 2007 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity](/preview/png/4613491.png)
چکیده انگلیسی
We consider the blowup rate of solutions for a semilinear heat equationut=Δu+|u|p−1u,x∈Ω⊂RN,t>0, with critical power nonlinearity p=(N+2)/(N−2)p=(N+2)/(N−2) and N⩾3N⩾3. First we investigate the profiles of backward self-similar solutions by making use of the variational method, and then, by employing the intersection comparison argument with a particular self-similar solution, we derive the criteria of the blowup rate of solutions, assuming the positivity of solutions in backward space–time parabola. In particular, we show the existence of the so-called type II blowup solutions for the Cauchy–Dirichlet problems on suitable shrinking domains in the case N=3N=3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 232, Issue 1, 1 January 2007, Pages 176–211
Journal: Journal of Differential Equations - Volume 232, Issue 1, 1 January 2007, Pages 176–211
نویسندگان
Yūki Naito, Takashi Suzuki,