Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Hicham Redwane"'
Autor:
Khaled Zaki, Hicham Redwane
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 327,, Pp 1-12 (2016)
We establish the existence of solutions for the nonlinear parabolic problem with Dirichlet homogeneous boundary conditions, $$ \frac{\partial u}{\partial t} - \sum_{i=1}^N\frac{\partial}{\partial x_i} \Big( d_i(u)\frac{\partial u}{\partial x_i} \
Externí odkaz:
https://doaj.org/article/04889a4051c94b64a7dfa70df8ee1e55
Autor:
Dominique Blanchard, Hicham Redwane
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 20, Iss 2, Pp 157-176 (2014)
We give an existence result of a renormalized solution for a class of nonlinear parabolic equations ∂b(x,u)∂t-div(a(x,t,u,∇u))+g(u)|∇u|p=f, where the right side belongs to L1(Ω × (0,T)), b(x,u) is an unbounded function of u and −div(a(x,t
Externí odkaz:
https://doaj.org/article/bcabfde9417448eda9527711da4ee968
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2013, Iss 43, Pp 1-21 (2013)
In this paper we prove the existence of entropy solution to unilateral problems associated to the equations of the type: $Au-div(\phi(u))=\mu\in L^{1}(\Omega)+W^{-1,p'(x)}(\Omega)$, where $A$ is a Leray-Lions operator acted from $W_{0}^{1,p(x)}(\Omeg
Externí odkaz:
https://doaj.org/article/a0c0a1fcd4dd4caeae459574aa432776
Publikováno v:
Electronic Journal of Differential Equations, Vol 2012, Iss 79,, Pp 1-20 (2012)
In this article, we prove the existence of solutions to unilateral problems involving nonlinear operators of the form: $$ Au+H(x,u,abla u)=f $$ where $A$ is a Leray Lions operator from $W_0^{1,p(x)}(Omega)$ into its dual $W^{-1,p'(x)}(Omega)$ and $H(
Externí odkaz:
https://doaj.org/article/30e321a578ac4a3382ae9d5da239f1a3
Publikováno v:
Electronic Journal of Differential Equations, Vol 2010, Iss 68,, Pp 1-18 (2010)
We prove an existence result for a class of nonlinear parabolic systems. Without assumptions on the growth of some nonlinear terms, we prove the existence of a renormalized solution.
Externí odkaz:
https://doaj.org/article/aa38ac84923343cf86bd5224be73cef6
Autor:
Hicham Redwane
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2010, Iss 2, Pp 1-19 (2010)
An existence result of a renormalized solution for a class of nonlinear parabolic equations in Orlicz spaces is proved. No growth assumption is made on the nonlinearities.
Externí odkaz:
https://doaj.org/article/95755e9672d74f3fa5bd84c28caca1d4
Autor:
Kaouther Ammar, Hicham Redwane
Publikováno v:
Electronic Journal of Differential Equations, Vol 2008, Iss 30, Pp 1-18 (2008)
We are interested in the degenerate problem $$ b(v)-hbox{ div}a(v, abla g(v))=f $$ with the homogeneous boundary condition $g(v)=0$ on some part of the boundary. The vector field $a$ is supposed to satisfy the Leray-Lions conditions and the functions
Externí odkaz:
https://doaj.org/article/63276b99448b4a3aa90fe9c1ee4ee6e5
Autor:
Hicham Redwane
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 2, Pp 189-200 (2008)
We prove uniqueness and a comparison principle of renormalized solutions for a class of doubly nonlinear parabolic equations ∂b(x,u)/∂t − div(A(t, x)Du + Φ(u)) = f, where the right side belongs to L1((0, T) × Ω) and where b(x, u) is unbounde
Externí odkaz:
https://doaj.org/article/38921a86a4f9409db04c2bffaa4d656a
Autor:
Hicham Redwane
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2007, Iss 24, Pp 1-18 (2007)
An existence result of a solution for a class of nonlinear parabolic systems is established. The data belong to $L^1$ and no growth assumption is made on the nonlinearities.
Externí odkaz:
https://doaj.org/article/a86b8ed4c71645539aa80117a41fd3b2
Autor:
Hicham Redwane
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2009 (2009)
An existence result of a renormalized solution for a class of nonlinear elliptic equations is established. The diffusion functions 𝑎(𝑥,𝑢,∇𝑢) may not be in (𝐿1loc(Ω))𝑁 for a finite value of the unknown and the data belong to 𝐿1
Externí odkaz:
https://doaj.org/article/f2dc8076c3ea4128a6b14f15857cd109