A singular parabolic equation: existence, stabilization

DOI10.1016/j.jde.2012.01.035zbMath1248.35107arXiv1104.1691OpenAlexW2963092978MaRDI QIDQ413458

Jacques Giacomoni, Mehdi Badra, Kaushik Bal

Publication date: 7 May 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1691

zbMATH Keywords

implicit Euler methodEuler methodexistence of a weak solutionsingular nonlinearitytime-semi-discretization

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear parabolic equations (35K59)

Related Items (17)

Nonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalence ⋮ Robust output regulation of the linearized Boussinesq equations with boundary control and observation ⋮ Quasilinear parabolic problem with variable exponent: Qualitative analysis and stabilization ⋮ A qualitative study of \((p, q)\) singular parabolic equations: local existence, Sobolev regularity and asymptotic behavior ⋮ Multiplicity of solution for a quasilinear equation with singular nonlinearity ⋮ Semilinear degenerate elliptic equation in the presence of singular nonlinearity ⋮ An exact estimate result for singular \(p\)-Laplacian equations with sign-changing potential ⋮ Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian ⋮ Quasilinear parabolic problem with \(p(x)\)-Laplacian: existence, uniqueness of weak solutions and stabilization ⋮ Data-driven robust state estimation for reduced-order models of 2D Boussinesq equations with parametric uncertainties ⋮ Doubly nonlinear equation involving \(p(x)\)-homogeneous operators: local existence, uniqueness and global behaviour ⋮ Unnamed Item ⋮ Existence of a unique positive entropy solution to a singular fractional Laplacian ⋮ Fractional heat equation with singular nonlinearity ⋮ Multiplicity of solution for a quasilinear equation with singular nonlinearity ⋮ Existence and nonexistence results for anisotropicp-Laplace equation with singular nonlinearities ⋮ Bounded solutions to a quasilinear and singular parabolic equation with \(p\)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On singular \(p\)-Laplacian problems
• Representation and control of infinite dimensional systems
• Semigroups of linear operators and applications to partial differential equations
• Regularity for a more general class of quasilinear equations
• On the linearization of some singular, nonlinear elliptic problems and applications
• Stabilization of positive solutions for analytic gradient-like systems
• A strong maximum principle for some quasilinear elliptic equations
• Semilinear elliptic equations with singular nonlinearities
• Existence of positive solutions for the one-dimension singular \(P\)-laplacian equation with sign changing nonlinearities via the method of upper and lower solution
• Local behavior of solutions of quasi-linear equations
• Nonuniqueness in the quenching problem
• Caractérisation de quelques espaces d'interpolation
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• On The Dirichletproblem for Quasilinear Equations
• Boundary regularity for solutions of degenerate elliptic equations
• A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
• Positive Solutions of Negative Exponent Generalized Emden–Fowler Boundary Value Problems
• Régularité de la solution d'un problème aux limites non linéaires
• On a dirichlet problem with a singular nonlinearity
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Existence and asymptotic behavior for a singular parabolic equation
• Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term
• Chapter 4 Singular elliptic and parabolic equations
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• A strong comparison principle for positive solutions of degenerate elliptic equations
• Existence and uniqueness of positive solutions for some quasilinear elliptic problems

This page was built for publication: A singular parabolic equation: existence, stabilization