Author:
Abdellaoui Mohammed,Redwane Hicham
Abstract
UDC 517.9
We study the existence and regularity results for degenerate parabolic problems in the presence of strongly increasing regularizing lower-order terms and
L
m
-data/Dirac mass.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science
Reference57 articles.
1. M. Abdellaoui, Regularizing effect for some parabolic problems with perturbed terms and irregular data, J. Elliptic Parabol. Equat. (to appear).
2. M. Abdellaoui, Stability/nonstability properties of renormalized/entropy solutions for degenerate parabolic equations with $L^{1}$/measure data, SEMA, 77, 457–506 (2020).
3. M. Abdellaoui, E. Azroul, Non-stability result of entropy solutions for nonlinear parabolic problems with singular measures, E. J. Elliptic and Parabol. Equat., 5, № 1, 1–26 (2019).
4. A. Alvino, L. Boccardo, V. Ferone, L. Orsina, G. Trombetti, Existence results for nonlinear elliptic equations with degenerate coercivity, Ann. Mat. Pura ed Appl. (4), 182, № 1, 53–79 (2003).
5. A. Alvino, V. Ferone, G. Trombetti, A priori estimates for a class of nonuniformly elliptic equations, Atti Semin. Mat. Fis. Univ. Modena, 46, 381–391 (1998).