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Special Points on First Order Partial Differential Equations and the Deformations of Solutions
| Content Provider | Scilit |
|---|---|
| Author | Kossowski, Marek |
| Copyright Year | 1987 |
| Description | The object of this paper is to identify four cases of special behavior in a class of first order PDE for a real valued function. (The class of PDE may be thought of as perturbation of PDE with singular solutions.) In each case we show how invariants of the PDE determine properties of solutions. The properties of solutions examined here are the structure of critical points and singularities induced by cotangent projection. These properties are described in the sense of constructing local models for solutions and characterizing their behavior under small deformations. We will find two cases where deformations exhibit bifurcation phenomena, and describe generic deformations. |
| Related Links | https://www.ams.org/tran/1987-302-01/S0002-9947-1987-0887504-0/S0002-9947-1987-0887504-0.pdf |
| Ending Page | 184 |
| Page Count | 14 |
| Starting Page | 171 |
| ISSN | 00029947 |
| e-ISSN | 10886850 |
| DOI | 10.2307/2000904 |
| Journal | Transactions of the American Mathematical Society |
| Issue Number | 1 |
| Volume Number | 302 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1987-07-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Physics First Order Partial Differential Equation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
