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math.AP2026
Renormalized Solution for the Nonlinear Parabolic Problem with Lower Order Terms
Shijun Li, Boai Huang, Shaopeng Xu
In this paper, we consider the following problem: \[ \begin{cases} -\nabla\cdot A(x,u,\nabla u) + H(x,u,\nabla u) = f(x), & x \in Ω, u = 0, & x \in \partial Ω, \end{cases} \] in…
math.AP2026
Renormalized Solution for the Nonlinear Parabolic Problem with Lower Order Terms
Shijun Li, Shujing Li, Shaopeng Xu
In this paper, we consider the following nonlinear parabolic equation with non-coercive terms in \(R^N\) space \[ \dfrac{\partial u}{\partial t} -\nabla \cdot (a(x,t,u,\nabla u)+ Î…