Results 41 to 50 of about 1,099 (88)

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

On the time continuity of entropy solutions

, 2010
We show that any entropy solution $u$ of a convection diffusion equation $\partial_t u + \div F(u)-\Delta\phi(u) =b$ in $\OT$ belongs to $C([0,T),L^1_{Loc}(\o\O))$.
Cancès, Clément, Gallouet, Thierry
core   +5 more sources

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
doaj   +1 more source

Boundary conditions for the single-factor term structure equation

, 2011
We study the term structure equation for single-factor models that predict nonnegative short rates. In particular, we show that the price of a bond or a bond option is the unique classical solution to a parabolic differential equation with a certain ...
Ekström, Erik, Tysk, Johan
core   +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
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

Wiener-Landis criterion for Kolmogorov-type operators

, 2017
We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichlet problem related to a class of Kolmogorov-type equations. Our criterion is inspired by two classical criteria for the heat equation: the Evans-Gariepy's
Kogoj, A. E., Lanconelli, E., Tralli, G.
core   +1 more source

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