集美大学学报：自然科学版2012，Vol.17Issue(1)：71-74,4.
带有吸附项的边界扩散退化抛物方程解的性质
Properties of the Boundary Degenerate Parabolic Equation with Adsorption Item
摘要
Abstract
The boundary degenerate parabolic equation with adsorption item Эu/Эt=dix（d^a｜u｜^p-2u）-u^q,（x,t）∈Qr=Ω×（0,T） was studied, where OCRN was a bounded domain with appropriately smooth boundary OO,d（x） = dist（x, OO） , and it was proved that if a≥ p - 1 , the equation was admitted a unique solution subject only to a given initial datum without any boundary value condition. While if 0 〈 a 〈 p - 1 , for a given initial datum, the equation admitted different solutions for different boundary value conditions.关键词
边界退化/扩散方程/存在性/唯一性Key words
boundary degeneracy/diffusion equation/existence/uniqueness分类
数理科学引用本文复制引用
谢清梅,詹华税..带有吸附项的边界扩散退化抛物方程解的性质[J].集美大学学报：自然科学版,2012,17(1):71-74,4.基金项目
福建省自然科学基金资助项目 （）
集美大学潘金龙科研基金资助项目 （）
