Results 61 to 70 of about 116 (91)

Higher integrability for doubly nonlinear parabolic systems. [PDF]

open access: yesSN Partial Differ Equ Appl, 2022
Bögelein V, Duzaar F, Scheven C.
europepmc   +1 more source

On a class of fully nonlinear parabolic equations

open access: yesAdvances in Nonlinear Analysis, 2016
We study the homogeneous Dirichlet problem for the fully nonlinear ...
Antontsev Stanislav, Shmarev Sergey
doaj   +1 more source

An order approach to SPDEs with antimonotone terms. [PDF]

open access: yesStoch Partial Differ Equ, 2020
Scarpa L, Stefanelli U.
europepmc   +1 more source

Homogenization of Smoluchowski-type equations with transmission boundary conditions

open access: yesAdvanced Nonlinear Studies
In this work, we prove a two-scale homogenization result for a set of diffusion-coagulation Smoluchowski-type equations with transmission boundary conditions.
Franchi Bruno, Lorenzani Silvia
doaj   +1 more source

Optimal global second-order regularity and improved integrability for parabolic equations with variable growth

open access: yesAdvances in Nonlinear Analysis
We consider the homogeneous Dirichlet problem for the parabolic equation ut−div(∣∇u∣p(x,t)−2∇u)=f(x,t)+F(x,t,u,∇u){u}_{t}-{\rm{div}}({| \nabla u| }^{p\left(x,t)-2}\nabla u)=f\left(x,t)+F\left(x,t,u,\nabla u) in the cylinder QT≔Ω×(0,T){Q}_{T}:= \Omega ...
Arora Rakesh, Shmarev Sergey
doaj   +1 more source

Global existence and extinction for a fast diffusion p-Laplace equation with logarithmic nonlinearity and special medium void

open access: yesOpen Mathematics
This article is devoted to the global existence and extinction behavior of the weak solution to a fast diffusion pp-Laplace equation with logarithmic nonlinearity and special medium void.
Liu Dengming, Chen Qi
doaj   +1 more source

Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
doaj   +1 more source

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