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Existence of solutions to a periodic parabolic problem with Orlicz growth and L^{۱} data

عنوان مقاله: Existence of solutions to a periodic parabolic problem with Orlicz growth and L^{۱} data
شناسه ملی مقاله: JR_IJNAA-14-1_119
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:

Ghita Erriahi Elidrissi - Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar el Mahraz, Laboratory of Mathematical Analysis and Applications, Fez, Morocco
Elhoussine Azroul - Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar el Mahraz, Laboratory of Mathematical Analysis and Applications, Fez, Morocco
Lamrani Abdelilah - CRMEF F\es, Morocco

خلاصه مقاله:
In  this paper, we are concerned with the  existence  of renormalized solution for a  nonlinear periodic  parabolic problem associated to the equation\begin{equation}\frac{\partial u}{\partial t}-A(u)+g(x,t,u,\nabla u)=f\in L^{۱} \end{equation}where  A(u) is the  m-Laplacian operator defined on  W^{۱,x}_{۰}L_{M}(\mathcal{Q}).

کلمات کلیدی:
Periodic solutions, Orlicz space, Renormalized solutions, L^{۱} data, Weak solutions, ۳۵B۱۰, ۳۵K۵۵

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1740015/