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math.AP2011
Boundary singularities of solutions to elliptic viscous Hamilton-Jacobi equations
Tai Nguyen Phuoc, Laurent Veron
We study the boundary value problem with measures for (E1) $-\Gd u+g(|\nabla u|)=0$ in a bounded domain $\Gw$ in $\BBR^N$, satisfying (E2) $ u=\gm$ on $\prt\Gw$ and prove that if $…
math.AP2011
Initial trace of positive solutions of a class of degenerate heat equation with absorption
Tai Nguyen Phuoc, Laurent Veron
We study the initial value problem with unbounded nonnegative functions or measures for the equation $ \prt_tu-\Gd_p u+f(u)=0$ in $\BBR^N\ti(0,\infty)$ where , $\Gd_p u = \tex…
math.AP2010
Local and global properties of solutions of heat equation with superlinear absorption
Tai Nguyen Phuoc, Laurent Veron
We study the limit, when of solutions of in with initial data $k\gd$, when is a positive increasing function. We prove that t…