Some First Order Linear Operators in Physics

2004 ◽  
pp. 267-306
Author(s):  
Fabrizio Colombo ◽  
Irene Sabadini ◽  
Franciscus Sommen ◽  
Daniele C. Struppa
Keyword(s):  
Linear Operators ◽  
Order Linear ◽  
First Order

scholarly journals Reducibility of first order linear operators on tori via Moser's theorem

2019 ◽  
Vol 276 (3) ◽  
pp. 932-970 ◽  
Author(s):  
R. Feola ◽  
F. Giuliani ◽  
R. Montalto ◽  
M. Procesi
Keyword(s):  
Linear Operators ◽  
Order Linear ◽  
First Order

scholarly journals Local Solvability inLpof First-Order Linear Operators

1996 ◽  
Vol 197 (1) ◽  
pp. 42-53 ◽  
Author(s):  
Jorge Hounie ◽  
Eduardo Perdigão de Lemos
Keyword(s):  
Local Solvability ◽  
Linear Operators ◽  
Order Linear ◽  
First Order

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.

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