Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613053 | Journal of Differential Equations | 2009 | 16 Pages |
Abstract
Consider the equation(0.1)ut=ÎuâVu+aupin RnÃ(0,T);u(x,0)=Ï(x)â©0in Rn, where p>1, n⩾2, Tâ(0,â], V(x)â¼Ï|x|2 as |x|ââ, for some Ïâ 0, and a(x) is on the order |x|m as |x|ââ, for some mâ(ââ,â). A solution to the above equation is called global if T=â. Under some additional technical conditions, we calculate a critical exponent pâ such that global solutions exist for p>pâ, while for 1
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ross Pinsky,