Results 51 to 60 of about 7,090,364 (356)
On nonuniqueness of viscosity solutions
Differential and Integral Equations, 1992 So-called viscosity solutions to the Dirichlet problem \(- a(x)u''+c(x)u'=f(x)\), \(u(-I)=\gamma_ -\), \(u(I)=\gamma_ +\) are studied when \(a(x)\geq 0\), \(c(x)\geq 0\). The authors establish a number of theorems, the simplest of which is the following: Let \(c(x)>0\) and \(x=0\) be the only point at which \(a(x)=0\); then (a) there exists a viscosity
Crandall, Michael G., Huan, Zhong Dan
openaire +3 more sources
Viscosity solutions for junctions: well posedness and stability [PDF]
, 2016 We introduce a notion of state-constraint viscosity solutions for one dimensional \junction"-type problems for Hamilton-Jacobi equations with non convex coercive Hamiltonians and study its well- posedness and stability properties.
P. Lions, P. Souganidis
semanticscholar +1 more source
Balanced viscosity solutions to a rate-independent system for damage [PDF]
European journal of applied mathematics, 2017 This article is the third one in a series of papers by the authors on vanishing-viscosity solutions to rate-independent damage systems. While in the first two papers (Knees, D. et al. 2013 Math. Models Methods Appl. Sci. 23(4), 565–616; Knees, D.
D. Knees, Riccarda Rossi, C. Zanini
semanticscholar +1 more source
The Gelfand problem for the 1-homogeneous p-Laplacian
Advances in Nonlinear Analysis, 2017 In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José +2 more
doaj +1 more source
Flux-limited and classical viscosity solutions for regional control problems [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2016 The aim of this paper is to compare two different approaches for regional control problems: the first one is the classical approach, using a standard notion of viscosity solutions, which is developed in a series of works by the three first authors.
G. Barles +3 more
semanticscholar +1 more source
Reviews-Viscosity of solutions [PDF]
The Journal of Physical Chemistry, 1901 n ...
openaire +3 more sources
Viscosity solutions with shocks [PDF]
Communications on Pure and Applied Mathematics, 2001 AbstractA solution of single nonlinear first order equations may develop jump discontinuities even if initial data is smooth. Typical examples include a crude model equation describing some bunching phenomena observed in epitaxial growth of crystals as well as conservation laws where jump discontinuities are called shocks.
openaire +4 more sources
Equivalence of solutions for non-homogeneous $ p(x) $-Laplace equations
Mathematics in Engineering, 2023 We establish the equivalence between weak and viscosity solutions for non-homogeneous $ p(x) $-Laplace equations with a right-hand side term depending on the spatial variable, the unknown, and its gradient.
María Medina , Pablo Ochoa
doaj +1 more source
Viscosity of silicate solutions
Langmuir, 1993 High precision viscosity measurements of electrolyte solns. were used to obtain information about interionic interactions. In solns. of Me4N+ (TMA) silicates values for the A and D coeff. in the Jones-Dole equation are significantly higher than for Na and K silicate solns. Ion assocn. between cations and anions in the silicate solns.
H. N. Stein, J. C. J. van der Donck
openaire +3 more sources
MathematicsIn this paper, the existence of viscosity solutions for weakly coupled, degenerate, and cooperative parabolic systems is studied in a bounded domain. In particular, we consider the viscosity solutions of parabolic systems with fully nonlinear degenerated
Georgi Boyadzhiev, Nikolay Kutev
doaj +1 more source