parabolic equations in orlicz spaces

a. elmahi; d. meskine

doi:10.1112/S0024610705006630

Abstract

an approximation theorem in inhomogeneous orlicz–sobolev spaces is proved which allows a second-order parabolic equation in orlicz spaces to be solved. a trace result is also given which shows that the solutions are continuous with respect to time.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Aboulaich, R. Achchab, B. Meskine, D. and Souissi, A. 2006. Parabolic inequalities with nonstandard growths and L1 data. Boundary Value Problems, Vol. 2006, Issue. , p. 1.

Chill, Ralph and Fiorenza, Alberto 2006. Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations. Journal of Differential Equations, Vol. 228, Issue. 2, p. 611.

Aboulaich, R. Meskine, D. and Souissi, A. 2008. New diffusion models in image processing. Computers & Mathematics with Applications, Vol. 56, Issue. 4, p. 874.

GWIAZDA, PIOTR and ŚWIERCZEWSKA-GWIAZDA, AGNIESZKA 2008. ON NON-NEWTONIAN FLUIDS WITH A PROPERTY OF RAPID THICKENING UNDER DIFFERENT STIMULUS. Mathematical Models and Methods in Applied Sciences, Vol. 18, Issue. 07, p. 1073.

Byun, Sun-Sig 2009. Hessian estimates in Orlicz spaces for fourth-order parabolic systems in non-smooth domains. Journal of Differential Equations, Vol. 246, Issue. 9, p. 3518.

Gwiazda, Piotr Świerczewska-Gwiazda, Agnieszka and Wróblewska, Aneta 2010. Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids. Mathematical Methods in the Applied Sciences, Vol. 33, Issue. 2, p. 125.

Fu, Yongqiang and Pan, Ning 2010. Existence of solutions for nonlinear parabolic problem with p(x)-growth. Journal of Mathematical Analysis and Applications, Vol. 362, Issue. 2, p. 313.

Kbiri Alaoui, Mohammed and Putinar, Mihai 2011. On Degenerate Parabolic Equations. International Journal of Mathematics and Mathematical Sciences, Vol. 2011, Issue. 1,

Kbiri Alaoui, M. Meskine, D. and Souissi, A. 2011. On some class of nonlinear parabolic inequalities in Orlicz spaces. Nonlinear Analysis: Theory, Methods & Applications, Vol. 74, Issue. 17, p. 5863.

Gwiazda, Piotr and Gwiazda, Agnieszka Świerczewska 2011. Parabolic Problems. Vol. 80, Issue. , p. 301.

Alaoui, Mohammmed Kbiri 2011. Parabolic problems with data measure. Boundary Value Problems, Vol. 2011, Issue. 1,

Byun, Sun-Sig and Ryu, Seungjin 2011. Gradient estimates for higher order elliptic equations on nonsmooth domains. Journal of Differential Equations, Vol. 250, Issue. 1, p. 243.

Emmrich, Etienne and Wróblewska-Kamińska, Aneta 2013. Convergence of a Full Discretization of Quasi-linear Parabolic Equations in Isotropic and Anisotropic Orlicz Spaces. SIAM Journal on Numerical Analysis, Vol. 51, Issue. 2, p. 1163.

Wróblewska-Kamińska, Aneta 2013. Unsteady flows of non-Newtonian fluids in generalized Orlicz spaces. Discrete & Continuous Dynamical Systems - A, Vol. 33, Issue. 6, p. 2565.

Świerczewska-Gwiazda, Agnieszka 2014. Nonlinear parabolic problems in Musielak–Orlicz spaces. Nonlinear Analysis: Theory, Methods & Applications, Vol. 98, Issue. , p. 48.

Kbiri Alaoui, Mohammed Nabil, Tamer and Altanji, Mohamed 2014. On some new non-linear diffusion models for the image filtering. Applicable Analysis, Vol. 93, Issue. 2, p. 269.

Ahmed Oubeid, Mohamed Leimne Benkirane, A. and El Vally, M. Sidi 2014. Strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces. Boletim da Sociedade Paranaense de Matemática, Vol. 33, Issue. 1, p. 191.

Gwiazda, P. Wittbold, P. Wróblewska-Kamińska, A. and Zimmermann, A. 2015. Renormalized solutions to nonlinear parabolic problems in generalized Musielak–Orlicz spaces. Nonlinear Analysis: Theory, Methods & Applications, Vol. 129, Issue. , p. 1.

Afraites, Lekbir Atlas, Abdelghafour Karami, Fahd and Meskine, Driss 2016. Some class of parabolic systems applied to image processing. Discrete and Continuous Dynamical Systems - Series B, Vol. 21, Issue. 6, p. 1671.

Burczak, Jan and Kaplický, Petr 2017. Interior regularity of space derivatives to an evolutionary, symmetric $$\varphi $$ φ -Laplacian. Monatshefte für Mathematik, Vol. 183, Issue. 1, p. 71.

Download full list

Article contents

parabolic equations in orlicz spaces

Abstract

Keywords

Access options

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

parabolic equations in orlicz spaces

Abstract

Keywords

Access options

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests