Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 529
Entropy solutions for nonlinear parabolic unilateral problems with diffuse measure data
Bouchra El Hamdaoui, Khadija Moutaouakil, Jaouad Bennouna
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 15, 2022
March 03, 2431
April 15, 2431

Abstract: We study both existence and regularity results of entropy unilateral solutions for nonlinear parabolic problems governed by a general Leray-Lions operators, an initial datum and diffuse measure as a right-hand side that does not charge the sets of zero parabolic -capacity, whose model is: {█(u-g≥Ψ a⋅e in Ω×(0;T)@u_t-∆_p u=μ in Q@u_(t=0)=u_(0 ) in Ω u=0 on ∂Ω×(0;T) )┤ where Ωis an open bounded subset of R^N (N>2) and T>1;1