Existence and Uniqueness of Renormalized Solutions to Nonlinear Parabolic Equations with Lower Order Term and Diffuse Measure Data |
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Authors: | Email author" target="_blank">A?BouajajaEmail author H?Redwane A?Marah |
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Institution: | 1.Laboratoire MISI, FST Settat,Université Hassan 1,Settat,Morocco;2.Faculté des Sciences Juridiques, économiques et Sociales,Université Hassan 1,Settat,Morocco |
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Abstract: | Here we give an existence and uniqueness result of a renormalized solution for a class of nonlinear parabolic equations \(\displaystyle {\partial b(u) \over \partial t} - \mathrm{div}(a(x,t,\nabla u))+\mathrm{div}(\Phi (x,t, u))=\mu \), where the right side is a measure data, b is a strictly increasing \(C^1\)-function, \(- \mathrm{div}(a(x,t,\nabla u))\) is a Leray–Lions type operator with growth \(|\nabla u|^{p-1}\) in \(\nabla u\) and \(\Phi (x,t, u)\) is a nonlinear lower order term. |
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