# Renormalized solutions for a class of nonlinear evolution problems

@article{Blanchard1998RenormalizedSF, title={Renormalized solutions for a class of nonlinear evolution problems}, author={Dominique Blanchard and Hicham Redwane}, journal={Journal de Math{\'e}matiques Pures et Appliqu{\'e}es}, year={1998}, volume={77}, pages={117-151} }

## 83 Citations

### EXISTENCE RESULTS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS IN ORLICZ SPACES

- Mathematics
- 2010

An existence result of a renormalized solution for a class of non- linear parabolic equations in Orlicz spaces is proved. No growth assumption is made on the nonlinearities.

### EXISTENCE OF A SOLUTION FOR A CLASS OF NONLINEAR PARABOLIC SYSTEMS

- Mathematics
- 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.

### EXISTENCE OF A RENORMALIZED SOLUTIONS FOR NONLINEAR PARABOLIC SYSTEMS WITTE UNBOUNDED NONLINEARITIES

- Mathematics
- 2013

We prove an existence result for a class of nonlinear parabolic systems with three unbounded nonlinearit ies. Without assumptions on the growth of some nonlinear terms, we prove the existence of a…

### RENORMALIZED SOLUTIONS FOR A NON-UNIFORMLY PARABOLIC EQUATION

- Mathematics
- 2012

In this paper we prove the existence of nonnegative renormalized solutions for the initial-boundary value problem of a non-uniformly parabolic equation. Some well-known parabolic equations are the…

### Existence of renormalized solutions of degenerate elliptic-parabolic problems

- MathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
- 2003

We consider a general class of degenerate elliptic-parabolic problems associated with the equation b(υ)t = div a(υ, Dυ) + f. Existence of renormalized solutions is established for general L1 data.…

### Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and L1 Data

- MathematicsInt. J. Math. Math. Sci.
- 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…

### Nonlinear evolution equations with noncoercive lower order terms

- MathematicsApplicable Analysis
- 2020

This paper is devoted to study the existence of renormalized solutions of the parabolic Dirichlet equations of prototype: where and the exponents of nonlinearities are given functions. The main…

### Renormalized Solutions for Nonlinear Degenerate Elliptic Problems with L 1 Data

- Mathematics
- 2009

We are interested in a class of nonlinear degenerate diffusion problems with a diffusion function a(x, u, Vu) which is not controlled with respect to u and which is not uniformly coercive on the…

### A Nonlinear Parabolic Problems with Lower Order Terms and Measure Data

- Mathematics
- 2015

We prove the existence of a renormalized solution to the nonlinear parabolic equation and the second member is assumed to be in L^1(Q T )+ L^p' (0, T, W^-1,p'(\Omega) )

### Strongly nonlinear parabolic inequality in orlicz spaces via a sequence of penalized equations

- Mathematics
- 2015

An existence result of a entropy unilateral solution for a class of strongly nonlinear parabolic equations in Orlicz spaces is proved. No growth assumption is made on the nonlinearities.

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