Stability properties for quasilinear parabolic equations with measure data

2014/09/04 by Marie-Françoise Bidaut-Véron, Quoc-Hung Nguyen, Bidaut-Véron, Marie-Françoise +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1409.1518

arXiv admin note: substantial text overlap with arXiv:1310.5253

arxiv created 2014/09/04 · arxiv updated 2014/09/05

Abstract

Let Ω be a bounded domain of ℝ^N, and Q=Ω×(0,T). We study problems of the model type \ % u_t-Δ_pu=μ\qquadin Q,
u=0\qquadon ∂Ω×(0,T),
u(0)=u₀\qquadin Ω, . where p>1, μ\inM_b(Q) and u₀∈ L¹(Ω). Our main result is a stability theorem extending the results of Dal Maso, Murat, Orsina, Prignet, for the elliptic case, valid for quasilinear operators u\longmapstoA(u)=div(A(x,t,∇ u)).

Citations

• Stability properties for quasilinear parabolic equations with measure data and applications

Related

• Stability properties for quasilinear parabolic equations with measure data and applications
• Stability of solutions of quasilinear parabolic equations
• Potential estimates and quasilinear parabolic equations with measure data
• A Singular Parabolic Equation: Existence, Stabilization
• Parabolic equations with exponential nonlinearity and measure data