Displaying similar documents to “Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data”

Parabolic initial-boundary value problems in Orlicz spaces

A. Elmahi, D. Meskine (2005)

Annales Polonici Mathematici

Similarity:

We prove some time mollification properties and imbedding results in inhomogeneous Orlicz-Sobolev spaces which allow us to solve a second order parabolic equation in Orlicz spaces.

Continuous dependence for BV-entropy solutions to strongly degenerate parabolic equations with variable coefficients

Watanabe, Hiroshi

Similarity:

We consider the Cauchy problem for degenerate parabolic equations with variable coefficients. The equation has nonlinear convective term and degenerate diffusion term which depends on the spatial and time variables. In this paper, we prove the continuous dependence for entropy solutions in the space BV to the problem not only initial function but also all coefficients.

A new kind of the solution of degenerate parabolic equation with unbounded convection term

Huashui Zhan (2015)

Open Mathematics

Similarity:

A new kind of entropy solution of Cauchy problem of the strong degenerate parabolic equation [...] is introduced. If u0 ∈ L∞(RN), E = {Ei} ∈ (L2(QT))N and divE ∈ L2(QT), by a modified regularization method and choosing the suitable test functions, the BV estimates are got, the existence of the entropy solution is obtained. At last, by Kruzkov bi-variables method, the stability of the solutions is obtained.

Entropy solutions for nonlinear unilateral parabolic inequalities in Orlicz-Sobolev spaces

Azeddine Aissaoui Fqayeh, Abdelmoujib Benkirane, Mostafa El Moumni (2014)

Applicationes Mathematicae

Similarity:

We discuss the existence of entropy solution for the strongly nonlinear unilateral parabolic inequalities associated to the nonlinear parabolic equations ∂u/∂t - div(a(x,t,u,∇u) + Φ(u)) + g(u)M(|∇u|) = μ in Q, in the framework of Orlicz-Sobolev spaces without any restriction on the N-function of the Orlicz spaces, where -div(a(x,t,u,∇u)) is a Leray-Lions operator and Φ ∈ C ⁰ ( ℝ , ℝ N ) . The function g(u)M(|∇u|) is a nonlinear lower order term with natural growth with respect to |∇u|, without satisfying...

The parabolic-parabolic Keller-Segel equation

Kleber Carrapatoso (2014-2015)

Séminaire Laurent Schwartz — EDP et applications

Similarity:

I present in this note recent results on the uniqueness and stability for the parabolic-parabolic Keller-Segel equation on the plane, obtained in collaboration with S. Mischler in [11].

A note on the paper of Y. Naito

Piotr Biler (2006)

Banach Center Publications

Similarity:

This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.