摘要
研究了下面的抛物型变分不等式v≥0,(ut-Δu+b(x,t)up)(v-u)≥f(v-u)a.e.,(x,t)∈RN×(0,T],u≥0,(x,t)∈RN×(0,T],u(x,0)=u0(x),x∈RN的解的存在惟一性,以及解的支集的瞬间收缩性.
The paper considers the following parabolic variational inequalities. arbitrarg v≥0,（ut-△u＋b（x,t）u^p）（v-u）≥f（v-u）a,e.,（x,t）∈R^N×（0,T）,u≥0,（x,t）∈R^N×（0,T）],u（x,0）=u0（x）,x∈R^N.Some qualitative properties for solutions of these variational inequalities, such as existence,uniqueness and instantaneous shrinking of the support ,are studied here.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2005年第3期303-312,共10页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
变分不等式
支集的瞬间收缩性
variational inequality
instantaneous shrinking of the support
