Correlation theory of stationary electromagnetic fields. Part IV — Second order conservation laws

1961 ◽  
Vol 22 (5) ◽  
pp. 1005-1011 ◽  
Author(s):  
P. Roman
Keyword(s):  
Conservation Laws ◽  
Electromagnetic Fields ◽  
Second Order ◽  
Correlation Theory

scholarly journals Nonlinear conservation laws for the Schrödinger boundary value problems of second order

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Ming Ren ◽  
Shiwei Yun ◽  
Zhenping Li
Keyword(s):  
Cauchy Problem ◽  
Conservation Laws ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Maximum Modulus ◽  
Second Order ◽  
Nonlinear Conservation Laws ◽  
The Cauchy Problem ◽  
Modulus Method ◽  
Semilinear Schrödinger Equation

AbstractIn this paper, we apply a reliable combination of maximum modulus method with respect to the Schrödinger operator and Phragmén–Lindelöf method to investigate nonlinear conservation laws for the Schrödinger boundary value problems of second order. As an application, we prove the global existence to the solution for the Cauchy problem of the semilinear Schrödinger equation. The results reveal that this method is effective and simple.

scholarly journals On a Theory for Analysing Second-Order Systems of Ordinary Discrete Equations

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
J. J. H. Bashingwa ◽  
A. H. Kara
Keyword(s):  
Conservation Laws ◽  
Difference Equations ◽  
Second Order ◽  
Discrete Equations ◽  
Second Order Systems

We present geometric based methods for solving systems of discrete or difference equations and introduce a technique for finding conservation laws for such systems.

scholarly journals A novel second order accurate hybrid numerical approach for conservation laws

2008 ◽  
Vol 25 ◽  
pp. 91-113
Author(s):  
Pascal Jaisson ◽  
Florian De Vuyst
Keyword(s):  
Conservation Laws ◽  
Numerical Approach ◽  
Second Order

Conformal conservation laws for second-order scalar fields

1976 ◽  
Vol 34 (2) ◽  
pp. 319-324 ◽  
Author(s):  
J. S. Blakeslee ◽  
J. D. Logan
Keyword(s):  
Conservation Laws ◽  
Scalar Fields ◽  
Second Order
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