Results 51 to 60 of about 234 (137)

Sharp forced waves of degenerate diffusion equations in shifting environments

Advances in Nonlinear Analysis
This article is concerned with the sharp forced waves for degenerate diffusion equations in a shifting environment. The degeneracy of diffusion usually causes the forced waves to become sharp.
Mei Ming, Ji Shanming, Wang Zejia, Xu Tianyuan, Yin Jingxue   +4 more
doaj   +1 more source

On a fractional thin film equation

Advances in Nonlinear Analysis, 2020
This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
doaj   +1 more source

An introduction to “Second Order Subelliptic PDEs”: the scientific work of Ermanno Lanconelli

Analysis and Geometry in Metric Spaces
We present an overview of the scientific activity of Ermanno Lanconelli, to whom this volume is dedicated on the occasion of his birthday.
Bonfiglioli Andrea, Citti Giovanna, Cupini Giovanni, Kogoj Alessia E., Manfredini Maria, Montanari Annamaria, Morbidelli Daniele, Pascucci Andrea, Polidoro Sergio, Tralli Giulio, Uguzzoni Francesco   +10 more
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Vanishing viscosity limit for a one-dimensional viscous conservation law in the presence of two noninteracting shocks

Demonstratio Mathematica
In this article, we study the inviscid limit of the solution to the Cauchy problem of a one-dimensional viscous conservation law, where the second-order term is nonlinear. Under the assumption that the inviscid equation admits a piecewise smooth solution
Feng Li, Wang Jing
doaj   +1 more source

Hölder gradient estimates for a class of singular or degenerate parabolic equations

Advances in Nonlinear Analysis, 2017
We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic ...
Imbert Cyril, Jin Tianling, Silvestre Luis   +2 more
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Extinction in finite time of solutions to the nonlinear diffusion equations involving p(x,t)-Laplacian operator

Boundary Value Problems, 2013
The aim of this paper is to study the extinction of solutions of the initial boundary value problem for ut=div(|∇u|p(x,t)−2∇u)+b(x,t)|u|q−a0u. The authors discuss how the relations of p(x,t) and dimension N affect the properties of extinction in finite ...
Peng Sun, Mingji Liu, C. Cao
semanticscholar   +1 more source

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

Advances 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

The higher integrability of weak solutions of porous medium systems

Advances in Nonlinear Analysis, 2018
In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.
Bögelein Verena, Duzaar Frank, Korte Riikka, Scheven Christoph   +3 more
doaj   +1 more source

Pointwise Gradient Estimates in Multi-dimensional Slow Diffusion Equations with a Singular Quenching Term

Advanced Nonlinear Studies, 2020
We consider the high-dimensional equation ∂t⁡u-Δ⁢um+u-β⁢χ{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, Díaz Jesus Ildefonso, Nguyen Quan Ba Hong   +2 more
doaj   +1 more source

A constructive method for convex solutions of a class of nonlinear Black-Scholes equations

Advances in Nonlinear Analysis, 2019
In this work, we are concerned with the theoretical study of a nonlinear Black-Scholes equation resulting from market frictions. We will focus our attention on Barles and Soner’s model where the volatility is enlarged due to the presence of transaction ...
Abounouh Mostafa, Al Moatassime Hassan, Driouch Aicha, Goubet Olivier   +3 more
doaj   +1 more source