Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

Existence result for nonlinear parabolic problems with L¹-data

Abderrahmane El HachimiJaouad IgbidaAhmed Jamea — 2010

Applicationes Mathematicae

We study the existence of solutions of the nonlinear parabolic problem u / t - d i v [ | D u - Θ ( u ) | p - 2 ( D u - Θ ( u ) ) ] + α ( u ) = f in ]0,T[ × Ω, ( | D u - Θ ( u ) | p - 2 ( D u - Θ ( u ) ) ) · η + γ ( u ) = g on ]0,T[ × ∂Ω, u(0,·) = u₀ in Ω, with initial data in L¹. We use a time discretization of the continuous problem by the Euler forward scheme.

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L 1 -data

Abdelali SabriAhmed JameaHamad Talibi Alaoui — 2020

Communications in Mathematics

In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic p ( · ) -Laplacian problem with Dirichlet-type boundary conditions and L 1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.

Page 1

Download Results (CSV)