A Boundary Estimate for Singular Parabolic Diffusion Equations [PDF]
Nonlinear Differential Equations and Applications, 25(4), (2018), 2017 We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of p-laplacian type.
Gianazza, Ugo +2 more
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A Boundary Estimate for Singular Sub-Critical Parabolic Equations [PDF]
arXiv, 2020 We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of $p$-laplacian type, with $p$ in the sub-critical range $(1,\frac{2N}{N+1}]$.
Gianazza, Ugo, Liao, Naian
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Integrability of the derivative of solutions to a singular one-dimensional parabolic problem [PDF]
arXiv, 2017 We study integrability of the derivative of solutions to a singular one-dimensional parabolic equation with initial data in $W^{1,1}$. In order to avoid additional difficulties we consider only the periodic boundary conditions.
Nakayasu, Atsushi, Rybka, Piotr
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Advanced Nonlinear Studies, 2020 We consider the high-dimensional equation ∂tu-Δum+u-βχ{u>0}=0{\partial_{t}u-\Delta u^{m}+u^{-\beta}{\chi_{\{u>0\}}}=0}, extending the mathematical treatment made in 1992 by B. Kawohl and R. Kersner for the one-dimensional case.
Dao Nguyen Anh +2 more
doaj +1 more source
Flux-saturated porous media equations and applications
, 2015 The aim of this paper is to review the main recent results about the dynamics of nonlinear partial differential equations describing flux-saturated transport mechanisms, eventually in combination with porous media flow and/or reactions terms.
J. Calvo +4 more
semanticscholar +1 more source
A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities
Advances in Nonlinear Analysis, 2015 We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
doaj +1 more source
Extinction for a Singular Diffusion Equation with Strong Gradient Absorption Revisited
Advanced Nonlinear Studies, 2018 When 2N/(N+1)
Iagar Razvan Gabriel +1 more
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The conditions for blow-up and global existence of solution for a degenerate and singular parabolic equation with a non-local source [PDF]
, 2021 In this paper, we consider the degenerate and singular porous medium equation with a non-local source The conditions on the local and global existence of solutions are investigated. In the case of blow-up, the blow-up set is shown ...
Sawangtong, Panumart +2 more
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Existence of mild solutions for a singular parabolic equation and stabilization
Advances in Nonlinear Analysis, 2015 In this paper, we study the existence and the uniqueness of a positive mild solution for the following singular nonlinear problem with homogeneous Dirichlet boundary conditions: (St) ∂tu - Δpu = u -δ + f(x,u) in (0,T) × Ω =: QT, u = 0 on (0,T) × ∂Ω, u ...
Bougherara Brahim, Giacomoni Jacques
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Self-Similar Blow-Up Profiles for a Reaction-Diffusion Equation with Strong Weighted Reaction
Advanced Nonlinear Studies, 2020 We study the self-similar blow-up profiles associated to the following second-order reaction-diffusion equation with strong weighted reaction and unbounded weight:
Iagar Razvan Gabriel, Sánchez Ariel
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