Title of article
Asymptotic Estimates of Solutions ofut−12Δu=−|∇u| in R+×Rd,d⩾2
Author/Authors
Benachour، نويسنده , , S. and Roynette، نويسنده , , B. and Vallois، نويسنده , , P.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1997
Pages
24
From page
301
To page
324
Abstract
We express the solution,uμ, ofut−12Δu=−|∇u| in R+×Rd,d⩾2;uμ(0, ·)=μthrough a functional of ad-dimensional Bessel process, whereμis invariant by rotations and profiled. This allows us to estimate the asymptotic behaviour of ‖uμ(t, ·)‖1and ‖uμ(t, ·)‖∞astgoes to infinity.
Journal title
Journal of Functional Analysis
Serial Year
1997
Journal title
Journal of Functional Analysis
Record number
1547951
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