摘要: We provide a brief, expository introduction to our recent work on deterministic-game interpretations of second-order parabolic and elliptic PDE. Mathematics Subject Classification (2000). Primary 49L20, 35J60, 35K55; Sec-ondary 35C99, 49L25, 91A20....
In order to prove part (1) of Theorem 1.4, we need a proposition. Proposition 4.5 Let R\in S^2_B(\wedge ^2 {\mathbb {R}}^3) be an algebraic curvature operator. If \mathring{R} is (3+\delta )-nonnegative for some \delta \in [0,\frac{1}{3}], then \begin{aligned} {\...
The aim of this article is to present the theory of backward stochastic differential equations, in short BSDEs, and its connections with viscosity solutions of systems of semilinear second order partial differential equations of parabolic and elliptic type, in short PDEs. Linear BSDEs appeared long...
In 1960, Din Xiakui and others proved that the solution of the Dirichlet's problem is unnique if the system (1) satisfies condition (2) and (3). Later Hun Luogeng and others demonstrated that conditions (2) and (3) are equivalent to the M·I·Visik's condition for strongly elliptic...
Harbrecht. Second order Lagrange multiplier approximation for constrained shape optimization problems: M˚artensson's approach for shape problems. In Control and boundary analysis, volume 240 of Lect. Notes Pure Appl. Math., pages 107-118. Chapman & Hall/CRC, Boca Raton, FL, 2005....
first order differential equationsMarshak boundary conditionssecond-order elliptic PDEThe Simplified P-Approximation was introduced some 50 years ago, as an ... MF Modest,S Lei - 《Journal of Physics Conference》 被引量: 15发表: 2012年 Second-order partial differential equations Second order linear...
Completeness of the Asymmetric Products of Solutions of a Second-Order Elliptic Equation and the Uniqueness of the Solution of an Inverse Problem for the ... M Kokurin - 《Differential Equations》 被引量: 0发表: 2021年 On the expressive completeness of the propositional mu-calculus with respect...
Let $${\Omega \subseteq \mathbb{R}^n}$$ be a bounded open C1,1 set. In this paper we prove the existence of a unique second order absolute minimiser $${u_\
[PDE] in our model as the sum of [basal PDE] plus a variable [PdeA] estimated by the curve-fitting tool in MATLAB applied to quantitative PdeA measurements derived from Western blots of [46] using ImageJ. The PdeA points and the corresponding curve are shown in Fig.7d with R-square ...
After developing a second-order CNLF scheme for the reformulated PDE system, we only need three steps to deal with two fully decoupled, sixth-order, purely linear equations for the MPFC equation with long-range interaction. The main goal of this work is to construct a CNLF approach for ...