| UNIFORM BLOWUP PROFILES FOR DIFFUSION EQUATIONS WITH NONLOCAL SOURCE AND NONLOCAL BOUNDARY |
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| 引用本文： | 林支桂,刘玉荣. UNIFORM BLOWUP PROFILES FOR DIFFUSION EQUATIONS WITH NONLOCAL SOURCE AND NONLOCAL BOUNDARY[J]. 数学物理学报(B辑英文版), 2004, 24(3) |
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| 作者姓名： | 林支桂 刘玉荣 |
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| 作者单位： | School of Mathematical Science，Yangzhou University，Yangzhou 225002，China，School of Mathematical Science，Yangzhou University，Yangzhou 225002，China |
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| 基金项目： | 国家自然科学基金，SRF for Rocs |
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| 摘 要： | Long time behavior of solutions to semilinear parabolic equations with nonlocal nonlinear source ut - △u = ∫Ω g(u)dx inΩ× (0, T) and with nonlocal boundary condition u(x, t) = ∫Ω f(x, y)u(y, t)dy on(e) Ω× (0, T) is studied. The authors establish local existence, global existence and nonexistence of solutions and discuss the blowup properties of solutions. Moveover, they derive the uniform blowup estimates for g(s) = sp(p ＞ 1) and g(s) = es under the assumption fΩ f(x, y)dy ＜ 1 for x ∈(e)Ω.
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UNIFORM BLOWUP PROFILES FOR DIFFUSION EQUATIONS WITH NONLOCAL SOURCE AND NONLOCAL BOUNDARY |
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| Lin Zhigui Liu YurongSchool of Mathematical Science,Yangzhou University,Yangzhou ,China. UNIFORM BLOWUP PROFILES FOR DIFFUSION EQUATIONS WITH NONLOCAL SOURCE AND NONLOCAL BOUNDARY[J]. Acta Mathematica Scientia, 2004, 24(3) |
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| Authors: | Lin Zhigui Liu YurongSchool of Mathematical Science Yangzhou University Yangzhou China |
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| Affiliation: | Lin Zhigui Liu YurongSchool of Mathematical Science,Yangzhou University,Yangzhou 225002,China |
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| Abstract: | |
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| Keywords: | Blowup nonlocal source nonlocal boundary condition |
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