Results 21 to 30 of about 187 (32)

Cauchy problem for a non-Newtonian filtration equation with slowly decaying volumetric moisture content

Advances in Nonlinear Analysis
This article is concerned with the qualitative properties for the Cauchy problem of a non-Newtonian filtration equation with a reaction source term and volumetric moisture content.
Huo Wentao, Fang Zhong Bo
doaj   +1 more source

Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions

, 2019
We prove existence and uniqueness of solutions to a nonlinear stochastic evolution equation on the $d$-dimensional torus with singular $p$-Laplace-type or total variation flow-type drift with general sublinear doubling nonlinearities and Gaussian ...
Tölle, Jonas M.
core   +1 more source

Global Calder\`on & Zygmund theory for nonlinear parabolic systems

, 2013
We establish a global Calder\'on & Zygmund theory for solutions of a huge class of nonlinear parabolic systems whose model is the inhomogeneous parabolic $p$-Laplacian system \begin{equation*} \left\{\begin{array}{cc} \partial_t u - \Div (|Du|^{p-2}Du) =
Bögelein, Verena
core   +1 more source

Pointwise estimates and existence of solutions of porous medium and $p$-Laplace evolution equations with absorption and measure data [PDF]

, 2014
Let $\Omega $ be a bounded domain of $\mathbb{R}^{N}(N\geq 2)$. We obtain a necessary and a sufficient condition, expressed in terms of capacities, for existence of a solution to the porous medium equation with absorption \begin{equation*} \left\{ \begin{
Bidaut-Véron, Marie-Françoise, Hung, Nguyen Quoc   +1 more
core   +2 more sources

Singular p-Laplacian parabolic system in exterior domains: higher regularity of solutions and related properties of extinction and asymptotic behavior in time

, 2018
We consider the IBVP in exterior domains for the p-Laplacian parabolic system. We prove regularity up to the boundary, extinction properties for p \in ( 2n/(n+2) , 2n/(n+1) ) and exponential decay for p= 2n/(n+1)
Crispo, Francesca, Grisanti, Carlo Romano, Maremonti, Paolo   +2 more
core   +1 more source

Convergence in $C(\lbrack0,T\rbrack;L^2(\Omega))$ of weak solutions to perturbed doubly degenerate parabolic equations

, 2016
We study the behaviour of solutions to a class of nonlinear degenerate parabolic problems when the data are perturbed. The class includes the Richards equation, Stefan problem and the parabolic $p$-Laplace equation.
Droniou, Jérôme, Eymard, Robert, Talbot, Kyle S.   +2 more
core   +2 more sources

Global higher integrability for parabolic quasiminimizers in metric spaces [PDF]

, 2013
We prove higher integrability up to the boundary for minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces, related to the heat equation.
Masson, Mathias, Parviainen, Mikko
core  

Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity

, 2014
In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near ...
Attouchi, Amal
core   +1 more source

Continuity of the temperature in a multi-phase transition problem. [PDF]

Math Ann, 2022
Gianazza U, Liao N.
europepmc   +1 more source

Heterogeneous Diffusion and Nonlinear Advection in a One-Dimensional Fisher-KPP Problem. [PDF]

Entropy (Basel), 2022
Palencia JLD, Rahman SU, Redondo AN.
europepmc   +1 more source