JournalspmVol. 66 / No. 1DOI 10.4171/pm/1829

Existence of a renormalized solution for a class of nonlinear parabolic equations in Orlicz spaces

  • Elhoussine Azroul

    Université Sidi Mohamed Ben Abdellah, Fès, Morocco
  • Hicham Redwane

    Université Hassan 1, Settat, Morocco
  • Mohamed Rhoudaf

    Université Sidi Mohamed Ben Abdellah, Fès, Morocco
Existence of a renormalized solution for a class of nonlinear parabolic equations in Orlicz spaces cover

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Abstract

An existence result for a solution of a class of nonlinear parabolic equations in Orlicz spaces is established. The data belongs to L1, no growth assumption is made on the nonlinearities and the N-function does not satisfy the Δ2 condition.