Results 1 to 10 of about 444,674 (286)
The Dirichlet problem for the Monge-Ampere equation in convex (but not strictly convex) domains
Electronic Journal of Differential Equations, 2006 It is well-known that the Dirichlet problem for the Monge-Amp`ere equation $det D^2 u = mu$ in a bounded strictly convex domain $Omega$ in $mathbb{R}^n$ has a weak solution (in the sense of Aleksandrov) for any finite Borel measure $mu$ on $Omega$ and ...
David Hartenstine
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Bruno Pini Mathematical Analysis SeminarGeneral potential theories concern the study of functions which are subharmonic with respect to a suitable constraint set $\cF$ in the space of 2-jets. While interesting in their own right, general potential theories are being widely used to study fully ...
F. Reese Harvey, Kevin R. Payne
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Mathematical Models For Calculating The Value Of Dynamic Viscosity Of A Liquid
Archives of Metallurgy and Materials, 2015 The objective of this article is to review models for calculating the value of liquid dynamic viscosity. Issues of viscosity and rheological properties of liquid ferrous solutions are important from the perspective of modelling, along with the control of
Ślęzak M.
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Generalized viscosity solutions of elliptic PDEs and boundary conditions
Electronic Journal of Differential Equations, 2006 Sufficient conditions are given for a generalized viscosity solution of an elliptic boundary value problem to satisfy the boundary values in the strong sense.
Gustaf Gripenberg
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Asymptotic mean-value formulas for solutions of general second-order elliptic equations
Advanced Nonlinear Studies, 2022 We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and ...
Blanc Pablo +3 more
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STATIONARY STOCHASTIC VISCOSITY SOLUTIONS OF SPDEs [PDF]
Stochastics and Dynamics, 2011 In this paper, we construct the pathwise stationary stochastic viscosity solution of a parabolic type SPDE by backward doubly stochastic differential equation (BDSDE) on infinite horizon. For this, we study the existence, uniqueness and regularity of solutions of infinite horizon BDSDEs and their pathwise stationary property.
openaire +2 more sources
Viscosity solutions to degenerate diffusion problems
Electronic Journal of Differential Equations, 2007 This paper concerns the weak solutions to a Cauchy problem in $R^N$ for a degenerate nonlinear parabolic equation. We obtain the Holder regularity of the weak solutions to this problem.
Zu-Chi Chen, Yan-Yan Zhao
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STUDY OF THE VISCOSITY OF PROTEIN SOLUTIONS THROUGH THE RAPID VISCOSITY ANALYZER (RVA)
Revista do Instituto de Latícinios Cândido Tostes, 2014 This study aimed to determine viscosity curves prepared from whey protein concentrates (WPCs) by the rapid viscosity analyzer (RVA) and determine the optimal heat treatment time in order to obtain the maximum viscosity solutions at this stage.
Maura P. Alves +5 more
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A characterisation of infinity-harmonic and p-harmonic maps via affine variations in L-infinity
Electronic Journal of Differential Equations, 2017 Let $u: \Omega \subseteq \mathbb{R}^n \to \mathbb{R}^N$ be a smooth map and $n,N \in \mathbb{N}$. The $\infty$-Laplacian is the PDE system $$ \Delta_\infty u :=\Big(Du \otimes Du + |Du|^2[Du]^\bot \otimes I\Big) :D^2u = 0, $$ where $[Du]^\bot ...
Nikos Katzourakis
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Electronic Journal of Differential Equations, 1999 We study existence of continuous weak (viscosity) solutions of Dirichlet and Cauchy-Dirichlet problems for fully nonlinear uniformly elliptic and parabolic equations. Two types of results are obtained in contexts where uniqueness of solutions fails or is
M. G. Crandall +3 more
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