Name
Title | ||
|---|---|---|
m-Hilbert Polynomial and Arbitrariness of the General Solution of Partial Differential Equations |
Abstract | ||
|---|---|---|
Using the framework of formal theory of partial differential equations, we consider a method of computation of the m-Hilbert polynomial (i.e. Hilbert polynomial with multivariable), which generalizes the Seiler's theorem of Hilbert polynomial with single variable. Next we present an approach to compute the number of arbitrary functions of positive differential order in the general solution, and give a formally well-posed initial problem. Finally,as applications the Maxwell equations and weakly over determined equations are considered. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/SYNASC.2009.22 | SYNASC |
Keywords | Field | DocType |
seiler theorem,partial differentialequations,hilbert polynomial,hilbert spaces,determined equation,partial differential equation,maxwell equations,involutive,m-hilbert polynomial,formal theory,general solution,arbitrary function,positive differential order,maxwell equation,partial differential equations,initial problem,polynomials,multi-filtered,indexes,artificial neural networks,physics,differential equations | Wu's method of characteristic set,Discrete mathematics,Stable polynomial,Polynomial,Numerical partial differential equations,Symbol of a differential operator,Monic polynomial,Stochastic partial differential equation,Matrix polynomial,Mathematics | Conference |
ISSN | ISBN | Citations |
2470-8801 | 978-1-4244-5911-7 | 0 |
PageRank | References | Authors |
0.34 | 3 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qi Ding | 1 | 0 | 0.68 |
| Hongqing Zhang | 2 | 138 | 48.35 |