Abstract

In this paper, we study the existence of solutions for nonlinear parabolic equations with natural growth terms in Musielak spaces ∂u/∂t+A(u)+g(x,t,u,∇u)+H(x,t,∇u)= f in Q where A(u)=- div a(x,t,u,∇u), is a Leary lions operator type, g(x,t,u,∇u) is a nonlinear with the sing condition but any restriction on its growth u ,H(x,t,∇u) is only growing at most at |∇u|

Keywords

  • Musielek-Orlics Spaces
  • nonlinear parabolic equation
  • natural growth terms

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