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Keyword: Parabolic Problems
Boundary gradient exact enlarged controllability of semilinear parabolic problems
The aim of this paper is to study the boundary enlarged gradient controllability problem governed by parabolic evolution equations. The purpose is to find and compute the control \(u\) which steers the gradient state from an initial gradient one \(\nabla y_{_{0}}\) to a gradient vector supposed to be unknown between two defined bounds \(b_1\) and…
Read More Nonlinear parabolic problem with lower order terms in Musielak-Orlicz spaces
We prove an existence result of entropy solutions for the nonlinear parabolic problems: \(\frac{\partial b(x,u)}{\partial t} + A(u) - div(\Phi(x,t,u))+H(x,t,u,\nabla u) =f,\) and \(A(u)=-div(a(x,t,u,\nabla u))\) is a Leary-Lions operator defined on the inhomogeneous Musielak-Orlicz space, the term \(\Phi(x,t,u)\) is a Cratheodory function assumed to be continuous on u and satisfy only the growth condition \(\)\Phi(x,t,u)\leq…
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