Results 41 to 50 of about 419,875 (391)

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

Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states

, 2020
In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semilinear degenerate reaction-diffusion equation in divergence form governed ...
Floridia, Giuseppe, Nitsch, Carlo, Trombetti, Cristina   +2 more
core   +1 more source

Regularization of outflow problems in unsaturated porous media with dry regions [PDF]

, 2007
We study a porous medium with saturated, unsaturated, and dry regions, described by Richards' equation for the saturation s and the pressure p. Due to a degenerate permeability coefficient k(x,s) and a degenerate capillary pressure function pc(x,s), the ...
Schweizer, Ben
core   +1 more source

On the viscosity solutions to a degenerate parabolic differential equation [PDF]

Ann. Mat. Pura Appl., Vol 194, Issue 5 (2015), 1423--1454, 2013
In this work, we study some properties of the viscosity solutions to a degenerate parabolic equation involving the non-homogeneous infinity-Laplacian.
arxiv   +1 more source

Uniqueness Results for Second Order Bellman-Isaacs Equations under Quadratic Growth Assumptions and Applications [PDF]

, 2006
In this paper, we prove a comparison result between semicontinuous viscosity sub and supersolutions growing at most quadratically of second-order degenerate parabolic Hamilton-Jacobi-Bellman and Isaacs equations.
Alvarez Olivier, Barles G., Bensoussan Alain, Benth Fred, Crandall Michael, Evans Lawrence, Fleming Wendell, Francesca Da Lio, John Fritz, Ley Olivier, Olivier Ley   +10 more
core   +7 more sources

Continuous dependence estimate for a degenerate parabolic–hyperbolic equation with Lévy noise [PDF]

, 2016
In this article, we are concerned with a multidimensional degenerate parabolic–hyperbolic equation driven by Lévy processes. Using bounded variation (BV) estimates for vanishing viscosity approximations, we derive an explicit continuous dependence ...
U. Koley, A. K. Majee, G. Vallet
semanticscholar   +1 more source

The fundamental solution of Cauchy problem for a single equation of the diffusion equation with inertia

Karpatsʹkì Matematičnì Publìkacìï, 2014
The paper found the explicit form of the fundamental solution of  Cauchy problem for the equation of Kolmogorov type that has a finite number  groups of spatial variables which are degenerate parabolic.
H.P. Malytska, I.V. Burtnyak
doaj   +1 more source

PERIODIC SOLUTION FOR A CLASS OF DOUBLY DEGENERATE PARABOLIC EQUATION WITH NEUMANN PROBLEM [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2015
In this article, we study the periodic solution for a class of doubly degenerate parabolic equation with nonlocal terms and Neumann boundary conditions. By using the theory of Leray-Schauder degree, we obtain the existence of nontrivial nonnegative time ...
Raad Awad Hameed, Wafaa M. Taha
doaj   +1 more source

Large time behavior for some nonlinear degenerate parabolic equations

, 2013
We study the asymptotic behavior of Lipschitz continuous solutions of nonlinear degenerate parabolic equations in the periodic setting. Our results apply to a large class of Hamilton-Jacobi-Bellman equations.
Ley, Olivier, Nguyen, Vinh Duc
core   +2 more sources

Pullback attractors for a non-autonomous semilinear degenerate parabolic equation

, 2016
In this paper, we consider the pullback attractors for a non-autonomous semilinear degenerate parabolic equation $u_{t}-\rom{div}(\sigma(x)\nabla u)+ f(u)=g(x, t)$ defined on a bounded domain $\Omega\subset \mathbb{R}^N$ with smooth boundary.
Xin Li, Chunyou Sun, F. Zhou
semanticscholar   +1 more source