Existence of a renormalized solution of nonlinear parabolic equations with lower order term and general measure data | Zendy

Amine Marah | Zendy; A. Bouajaja | Zendy; Hicham Redwane | Zendy

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Existence of a renormalized solution of nonlinear parabolic equations with lower order term and general measure data

Author(s) -

Amine Marah,

A. Bouajaja,

Hicham Redwane

Publication year - 2020

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.40003

Subject(s) - term (time) , measure (data warehouse) , nonlinear system , order (exchange) , mathematics , mathematical analysis , parabolic partial differential equation , operator (biology) , function (biology) , mathematical physics , physics , partial differential equation , quantum mechanics , chemistry , biochemistry , finance , repressor , database , evolutionary biology , biology , computer science , transcription factor , economics , gene

u = 0 on ∂Ω× (0, T ). (1.3) In Problem (1.1)-(1.3) the framework is the following: the data μ is a general measure, b is a strictly increasing C-function, the operator −div(a(x, t,∇u)) is a Leray–Lions operator which is coercive and grows like |∇u| with respect to ∇u and H(x, t,∇u) is a nonlinear lower order. In the case where b(u) = u, H = 0, and 2010 Mathematics Subject Classification: 42C40,42C15, 46E35, 11F85. Submitted October 10, 2017. Published April 01, 2018

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