Results 31 to 40 of about 618,259 (179)
Quasistatic Porous-Thermoelastic Problems: An a Priori Error Analysis
Mathematics, 2021 In this paper, we deal with the numerical approximation of some porous-thermoelastic problems. Since the inertial effects are assumed to be negligible, the resulting motion equations are quasistatic.
Jacobo Baldonedo +2 more
doaj +1 more source
Weighted a priori estimates for the Poisson equation [PDF]
Indiana University Mathematics Journal, 2008 and let u be a solution of the classical Poisson problem in Ω; i.e., -Δu = f in Ω, u = 0 on ∂Ω, where f ∈ L ρ ω (Ω) and ω is a weight in Ap. The main goal of this paper is to prove the following a priori estimate ∥u∥W 2,p ω (Ω)≤C∥f∥L p ω (Ω), and to give some applications for weights given by powers of the distance to the boundary.
Durán, Ricardo Guillermo +2 more
openaire +3 more sources
A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on bounded domains [PDF]
, 2013 We investigate quantitative properties of the nonnegative solutions $u(t,x)\ge 0$ to the nonlinear fractional diffusion equation, $\partial_t u + {\mathcal L} (u^m)=0$, posed in a bounded domain, $x\in\Omega\subset {\mathbb R}^N$ with $m>1$ for $t>0$. As
Bonforte, Matteo, Vázquez, Juan Luis
core
Positive solutions for elliptic problems with critical indefinite nonlinearity in bounded domains
Electronic Journal of Differential Equations, 2007 In this paper, we study the semilinear elliptic problem with critical nonlinearity and an indefinite weight function, namely $$ - Delta u =lambda u + h (x) u^{(n+2)/(n-2)} $$ in a smooth open bounded domain $Omegasubseteq mathbb{R}^n$, $n > 4 $ with ...
Jacques Giacomoni +2 more
doaj
The Surrogate Matrix Methodology: A Priori Error Estimation [PDF]
SIAM Journal on Scientific Computing, 2019 We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is based on the piece-wise smooth approximation of the matrices involved in a standard finite element discretization ...
Drzisga, Daniel +2 more
openaire +4 more sources
Maximal Graphs and Spacelike Mean Curvature Flows in Semi-Euclidean Spaces [PDF]
, 2011 Two main results are proved. The first is for the maximal graph system in semi-Euclidean spaces. Existence of smooth solutions to the Dirichlet problem is proved, under certain assumptions on the boundary data.
THORPE, BENJAMIN,STUART
core
A priori estimates for some elliptic equations involving the $p$-Laplacian
, 2017 We consider the Dirichlet problem for positive solutions of the equation $-\Delta_p (u) = f(u)$ in a convex, bounded, smooth domain $\Omega \subset\R^N$, with $f$ locally Lipschitz continuous. \par We provide sufficient conditions guarantying $L^{\infty}
Damascelli, Lucio, Pardo, Rosa
core +1 more source
The obstacle problem for conformal metrics on compact Riemannian manifolds
Journal of Inequalities and Applications, 2018 We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds (Mn,g) $(M^{n}, g)$ arising from conformal deformation.
Sijia Bao, Yuming Xing
doaj +1 more source
Singular quasilinear elliptic systems in $\mathbb{R}^N$
, 2018 The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
core +1 more source
Mixed problem with integral condition for the hyperbolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 In this paper we consider a nonlocal problem with integral condition of the first kind. Existence and uniqueness of a solution of this problem are proved. The proof is based on a priori estimates and auxiliary problem method.
Natali D Golubeva
doaj