Nonlinear Parabolic Equations with Singular Coefficient with Respect to the Unknown and with Diffuse Measure Data

Khaled Zaki; Hicham Redwane

doi:10.4208/jpde.v32.n4.3

Nonlinear Parabolic Equations with Singular Coefficient with Respect to the Unknown and with Diffuse Measure Data

Authors

Khaled Zaki Facult des Sciences et Techniques Université Hassan 1, B.P. 764. Settat. Morocco
Hicham Redwane Faculté des Sciences et Techniques Université Hassan 1, B.P. 764. Settat. Morocco

DOI:

https://doi.org/10.4208/jpde.v32.n4.3

Keywords:

Nonlinear parabolic equations;renormalized solutions;diffuse measure.

Abstract

An existence and uniqueness result of a renormalized solution for a class of doubly nonlinear parabolic equations with singular coefficient with respect to the unknown and with diffuse measure data is established. A comparison result is also proved for such solutions.

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Published

2020-05-12

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Issue

Vol. 32 No. 4 (2019)

Section

Articles

How to Cite

Nonlinear Parabolic Equations with Singular Coefficient with Respect to the Unknown and with Diffuse Measure Data. (2020). Journal of Partial Differential Equations, 32(4), 326-341. https://doi.org/10.4208/jpde.v32.n4.3