scholarly journals An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint

2019 ◽  
Vol 148 (1) ◽  
pp. 273-282 ◽  
Author(s):  
Adolfo Arroyo-Rabasa
Keyword(s):  
Elementary Approach ◽  
Order Linear ◽  
First Order ◽  
Linear Pde

On the local solvability of certain overdetermined systems of first-order linear PDE

1992 ◽  
Vol 59 (1) ◽  
pp. 225-230
Author(s):  
François Treves
Keyword(s):  
Local Solvability ◽  
Order Linear ◽  
First Order ◽  
Overdetermined Systems ◽  
Linear Pde

scholarly journals On first order linear PDE systems all of whose solutions are harmonic functions

2006 ◽  
Vol 30 (1) ◽  
pp. 149-170 ◽  
Author(s):  
Sorin Dragomir ◽  
Ermanno Lanconelli
Keyword(s):  
Harmonic Functions ◽  
Order Linear ◽  
First Order ◽  
Linear Pde ◽  
Pde Systems

scholarly journals Explicit Runge–Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems

2010 ◽  
Vol 48 (6) ◽  
pp. 2019-2042 ◽  
Author(s):  
Erik Burman ◽  
Alexandre Ern ◽  
Miguel A. Fernández
Keyword(s):  
Finite Elements ◽  
Order Linear ◽  
First Order ◽  
Linear Pde ◽  
Pde Systems ◽  
Runge Kutta

scholarly journals Two scale defect measure and linear equations with oscillating coefficients

Filomat ◽  
2019 ◽  
Vol 33 (9) ◽  
pp. 2867-2873
Author(s):  
Jelena Aleksic ◽  
Stevan Pilipovic
Keyword(s):  
Linear Equations ◽  
Convergent Sequence ◽  
Dimensional Torus ◽  
Strong Limit ◽  
Absolutely Continuous ◽  
Order Linear ◽  
First Order ◽  
Linear Pde ◽  
Defect Measure ◽  
Oscillating Coefficients

Microlocal measure ? is associated to a two-scale convergent sequence un over Rd with the limit u ? L2(Rd x Td), Td is a torus, to analyze possible strong limit. ? is an operator valued measure absolutely continuous with respect to the product of scalar microlocal defect measure and a measure on the d-dimensional torus. The result is applied to the first order linear PDE with the oscillating coefficients.

scholarly journals Characterization of Dissipative Structures for First-Order Symmetric Hyperbolic System with General Relaxation

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 728
Author(s):  
Yasunori Maekawa ◽  
Yoshihiro Ueda
Keyword(s):  
Hyperbolic System ◽  
Dissipative Structure ◽  
Dissipative Structures ◽  
Algebraic Characterization ◽  
Symmetric Hyperbolic System ◽  
Full Generality ◽  
Order Linear ◽  
First Order

In this paper, we study the dissipative structure of first-order linear symmetric hyperbolic system with general relaxation and provide the algebraic characterization for the uniform dissipativity up to order 1. Our result extends the classical Shizuta–Kawashima condition for the case of symmetric relaxation, with a full generality and optimality.

Old and New Results for First Order Periodic ODEs without Uniqueness: a Comprehensive Study by Lower and Upper Solutions

2004 ◽  
Vol 4 (3) ◽  
Author(s):  
Franco Obersnel ◽  
Pierpaolo Omari
Keyword(s):  
Cauchy Problem ◽  
Differential Equations ◽  
Lower And Upper Solutions ◽  
Elementary Approach ◽  
Qualitative Properties ◽  
First Order ◽  
The Past ◽  
The Cauchy Problem ◽  
Qualitative Properties Of Solutions ◽  
Comprehensive Study

AbstractAn elementary approach, based on a systematic use of lower and upper solutions, is employed to detect the qualitative properties of solutions of first order scalar periodic ordinary differential equations. This study is carried out in the Carathéodory setting, avoiding any uniqueness assumption, in the future or in the past, for the Cauchy problem. Various classical and recent results are recovered and generalized.

Multiplier Effects for Higher than First Order Linear Dynamic Econometric Models

Econometrica ◽  
1976 ◽  
Vol 44 (3) ◽  
pp. 593 ◽  
Author(s):  
Sophocles N. Brissimis
Keyword(s):  
Econometric Models ◽  
Order Linear ◽  
First Order ◽  
Linear Dynamic ◽  
Multiplier Effects
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