Results 21 to 30 of about 181 (31)

On a final value problem for a nonhomogeneous fractional pseudo-parabolic equation

open access: yesAlexandria Engineering Journal, 2020
In this paper, we are interested in finding the function u(t,x),(t,x)∈[0,T)×Ω from the final data u(T,x)=ϕ(x), satisfies a nonhomogeneous fractional pseudo-parabolic equation. The problem is stable for the cases σν, the problem is ill-posed (in the sense
Nguyen Hoang Luc   +3 more
doaj  

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

open access: yes, 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

open access: yes, 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

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

open access: yes, 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   +2 more
core   +1 more source

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

open access: yes, 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   +1 more
core   +2 more sources

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

open access: yes, 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

open access: yes, 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

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