Renormalized Solutions

2021 ◽  
pp. 165-224
Author(s):  
Iwona Chlebicka ◽  
Piotr Gwiazda ◽  
Agnieszka Åšwierczewska-Gwiazda ◽  
Aneta Wróblewska-Kamińska
Keyword(s):  
Renormalized Solutions

scholarly journals Erratum to: Uniqueness of renormalized solutions for a class of parabolic equations

2017 ◽  
Vol 66 (2) ◽  
pp. 645-645
Author(s):  
Ahmed Aberqi ◽  
Jaouad Bennouna ◽  
Mohamed Hammoumi
Keyword(s):  
Parabolic Equations ◽  
Renormalized Solutions

scholarly journals Uniqueness of renormalized solutions to nonlinear parabolic problems with lower-order terms

2013 ◽  
Vol 143 (6) ◽  
pp. 1185-1208 ◽  
Author(s):  
Rosaria Di Nardo ◽  
Filomena Feo ◽  
Olivier Guibé
Keyword(s):  
Parabolic Equations ◽  
Dirichlet Boundary ◽  
Growth Conditions ◽  
Dirichlet Boundary Conditions ◽  
Parabolic Problems ◽  
Renormalized Solutions ◽  
Uniqueness Results ◽  
Nonlinear Parabolic ◽  
Image Position ◽  
Lower Order Terms

We consider a general class of parabolic equations of the typewith Dirichlet boundary conditions and with a right-hand side belonging to L1 + Lp′ (W−1, p′). Using the framework of renormalized solutions we prove uniqueness results under appropriate growth conditions and Lipschitz-type conditions on a(u, ∇u), K(u) and H(∇u).

scholarly journals Parabolic inequalities inL1as limits of renormalized equations

2006 ◽  
Vol 2006 ◽  
pp. 1-18
Author(s):  
K. Azelmat ◽  
M. Kbiri Alaoui ◽  
D. Meskine ◽  
A. Souissi
Keyword(s):  
Parabolic Equations ◽  
Existence Of Solutions ◽  
Renormalized Solutions ◽  
Parabolic Inequalities

The paper deals with the existence of solutions of some parabolic bilateral problems approximated by the renormalized solutions of some parabolic equations.

scholarly journals Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L 1-data

2021 ◽  
Vol 7 (2) ◽  
pp. 277-298
Author(s):  
Mostafa El Moumni ◽  
Deval Sidi Mohamed
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Variable Exponents ◽  
Renormalized Solutions ◽  
Nonlinear Elliptic ◽  
Anisotropic Elliptic Equations

Abstract We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.

Renormalized solutions to nonlinear parabolic problems in generalized Musielak–Orlicz spaces

2015 ◽  
Vol 129 ◽  
pp. 1-36 ◽  
Author(s):  
P. Gwiazda ◽  
P. Wittbold ◽  
A. Wróblewska-Kamińska ◽  
A. Zimmermann
Keyword(s):  
Orlicz Spaces ◽  
Parabolic Problems ◽  
Renormalized Solutions ◽  
Nonlinear Parabolic Problems ◽  
Nonlinear Parabolic
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