C. Riquier. Les Systemes d'  Equations aux Derivees Partielles. Gauthier-Villars, Paris, 1910.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....the problem well posed. This holds especially for overdetermined systems like (9) It turns out that involution provides the key [8] The analysis is further used to highlight differences between the notion of involution in formal theory and the notion of a passive system in Janet Riquier theory [9, 10]. This theory is especially useful for the construction of formally wellposed initial value problems [11] i.e. problems where exactly the correct amount of Cauchy data is prescribed to guarantee existence and uniqueness. The paper is organized as follows: After a brief introduction into the ....

....notion of passivity in the Janet Riquier theory which is based on differential algebra. Passive systems are often also called involutive, they are, however, in general only 14 Werner M. Seiler et al. formally integrable. We will not explain this approach but refer the reader to the literature [9, 10]. As already mentioned, in formal theory a differential equation is defined as a fibred submanifold in a jet bundle. Involution is a property of this geometric object and is independent of the specific coordinate system or set of equations used to describe it. In Janet Riquier theory, however, it ....

C. Riquier. Les Syst`emes d' ' Equations aux Deriv'ees Partielles. Gauthier-Villars, Paris, 1910.

No context found.

C. Riquier. Les Systemes d'  Equations aux Derivees Partielles. Gauthier-Villars, Paris, 1910.

No context found.

C. Riquier. Les Systemes d'  Equations aux Derivees Partielles. Gauthier-Villars, Paris, 1910.

No context found.

C. Riquier. Les Systemes d'  Equations aux Derivees Partielles. Gauthier-Villars, Paris, 1910.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC