Results 1 to 10 of about 15,837 (163)
$L_p$-Estimates for SPDE with Discontinuous Coefficients in Domains
Electronic Journal of Probability, 2005 The author considers stochastic partial differential equations of divergence form with discontinuous and unbounded coefficients. Working on Sobolev spaces and using an \(L^p\) theory for this class of equations, the author gives an existence and uniqueness results on \(\mathbb R^d\), \(\mathbb R^d_+\) and on \(C^1\) domains.
Kyeong-Hun Kim
exaly +3 more sources
A priori estimate of the solution of the Cauchy problem in the Sobolev classes for discontinuous coefficients of degenerate heat equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Partial differential equations of the parabolic type with discontinuous coefficients and the heat equation degenerating in time, each separately, have been well studied by many authors.
U.K. Koilyshov +2 more
doaj +3 more sources
A stability result for p-harmonic systems with discontinuous coefficients
Electronic Journal of Differential Equations, 2001 The present paper is concerned with p-harmonic systems $$ mathop{ m div} (langle A(x) Du(x), Du(x) angle ^{{p-2}over 2} A(x) Du(x))=mathop{ m div} ( sqrt{A(x)} F(x)),$$ where $A(x)$ is a positive definite matrix whose entries have bounded mean ...
Bianca Stroffolini
doaj +3 more sources
Numerical solution of linear differential equations with discontinuous coefficients and Henstock integral [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 We consider the problem of approximate solution of linear differential equations with discontinuous coefficients. We assume that these coefficients have $f$-primitive.
Lukomskii, Sergei Feodorovich +1 more
doaj +1 more source
A Predictor-Corrector Scheme for Conservation Equations with Discontinuous Coefficients
Journal of Mathematical and Fundamental Sciences, 2020 In this paper we propose an explicit predictor-corrector finite difference scheme to numerically solve one-dimensional conservation laws with discontinuous flux function appearing in various physical model problems, such as traffic flow and two-phase ...
Nasrin Okhovati, Mohammad Izadi
doaj +1 more source
The Gini coefficient and discontinuity
Cogent Economics & Finance, 2022 This article reveals a discontinuity in the mapping from a Lorenz curve to the associated cumulative distribution function. The problem is of a mathematical nature—based on an analysis of the transformation between the distribution function of a bound random variable and its Lorenz curve.
openaire +3 more sources
An Approximation Scheme for an Eikonal Equation with Discontinuous Coefficient [PDF]
SIAM Journal on Numerical Analysis, 2014 We consider the stationary Hamilton-Jacobi equation where the dynamics can vanish at some points, the cost function is strictly positive and is allowed to be discontinuous. More precisely, we consider special class of discontinuities for which the notion of viscosity solution is well-suited.
Adriano Festa, Maurizio Falcone
openaire +6 more sources
Advances in Difference Equations, 2017 The existence theory for the vector-valued stochastic differential equations driven by G-Brownian motion and pure jump G-Lévy process (G-SDEs) of the type d Y t = f ( t , Y t ) d t + g j , k ( t , Y t ) d 〈 B j , B k 〉 t + σ i ( t , Y t ) d B t i + ∫ R 0
Bingjun Wang, Mingxia Yuan
doaj +1 more source
Conservation Laws with Discontinuous Coefficients
Journal of Mathematical Analysis and Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernard, S. +3 more
openaire +2 more sources
The Uniqueness of the Solution of the Schrödinger Equation with Discontinuous Coefficients [PDF]
Reviews in Mathematical Physics, 1998 29 (twenty-nine) pages; no figures; to appear in Reviews of Mathematical ...
Jäger, Willi, Saitō, Yoshimi
openaire +3 more sources