Existence and uniqueness for renormalized solutions to a general noncoercive nonlinear parabolic equation

2024/03/25 by Trung Thanh Dang, Dang, T. T., Giandomenico Orlandi +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Applied mathematics #FOS: Mathematics #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Nonlinear system #Physics #Stability and Controllability of Differential Equations #Uniqueness

paper · pdf · doi:10.48550/arxiv.2403.16917

openalex publication_date 2024/03/25 · openalex created_date 2024/03/27 · openalex updated_date 2026/07/28

Abstract

This paper introduces the concept of renormalized solution for a general class of non-coercive nonlinear parabolic problems, including both singularities and unbounded lower order terms. We prove existence and uniqueness of renormalized solutions for such class of problems.

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