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DIFFERENTIAL HARNACK ESTIMATES FOR PARABOLIC EQUATIONS
PARABOLIC EQUATIONS DIFFERENTIAL HARNACK
2015/8/17
Let (M, g(t)) be a solution to the Ricci flow on a closed Riemannian
manifold. In this paper, we prove differential Harnack inequalities for positive
solutions of nonlinear parabolic equ...
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity
Harnack inequality second-order parabolic equations divergence-free drifts low regularity
2015/7/14
We establish the Harnack inequality for advection-diffusion equations with divergencefree drifts of low regularity.While our previous work [IKR] considered the elliptic case, here we treat the more ch...
BLOW-UP SOLUTIONS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS
2007/8/7
The type of problem under consideration is$$\left\{\begin{array}{ll}u_{t}=\nabla(a(u)b(x)\nabla u)+g(x,q,t)f(u)&$in$ \ D\!\times\!(0,T),\\[1mm]\displaystyle u=0 \ $on$ \ {\it \Gamma}_1\!\times\!(0,T),...