Results 31 to 40 of about 115 (113)

A General Approach to Stability in Free Boundary Problems

, 2000
Every solution of a linear elliptic equation on a bounded domain may be considered as an equilibrium of a free boundary problem. The free boundary problem consists of the corresponding parabolic equation on a variable unknown domain with free boundary ...
Alessandra Lunardi, Claude-michel Brauner, BRAUNER C. M, Lunardi, A., Brauner, C.-M., Josephus Hulshof, HULSHOF J., Hulshof, J., LUNARDI, Alessandra   +8 more
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Nonlinear elliptic-parabolic integro-differential equations with L 1-data: existence, uniqueness, asymptotic [PDF]

, 2002
The work is concerned with the existence and the qualitative behavior of solutions of certain nonlinear Volterra integro-differential equations. Both abstract equations with accretive operators and concrete equations of elliptic-parabolic type are ...
Jakubowski, Volker G.
core  

Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator

Open Mathematics
In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator.
Dukenbayeva Aishabibi
doaj   +1 more source

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
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Schauder estimates on bounded domains for KFP operators with coefficients measurable in time and Hölder continuous in space

Analysis and Geometry in Metric Spaces
We consider degenerate Kolmogorov-Fokker-Planck operators ℒu=∑i,j=1qaij(x,t)uxixj+∑k,j=1Nbjkxkuxj−ut,{\mathcal{ {\mathcal L} }}u=\mathop{\sum }\limits_{i,j=1}^{q}{a}_{ij}\left(x,t){u}_{{x}_{i}{x}_{j}}+\mathop{\sum }\limits_{k,j=1}^{N}{b}_{jk}{x}_{k}{u}_{{
Biagi Stefano, Bramanti Marco
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

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
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

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

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