Parabolic problems with slightly superlinear convection terms

2025/11/29 by Achhoud, Fessel
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2512.00495

Abstract

In this paper we deal with a non-linear parabolic problem which involving a convection term with super--linear growth, whose model is (∂ u)/(∂ t)-÷(M(x,t)∇ u)= -÷(ulog (e+|u|)E(x,t))+f(x,t), where M is a bounded measurable matrix, the vector field E and the function f belong to suitable Lebesgue spaces. We prove the existence of a unique bounded and unbounded weak solution.

Citations

• Elliptic problems with superlinear convection terms

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