Lüroth's problem for rings
✍ Scribed by S Glaz; J.D Sally; W.V Vasconcelos
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 486 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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## Abstract The paper deals with semilinear parabolic initial‐boundary value problems whereat the coefficient __g__(__x, t__) of the time derivative may vanish at a set of zero measure. Existence of a local weak solution of the problem is proved by means of semidiscretization in time. In order to o
## Abstract We recall the characterisation of positive definite polynomial functions over a real closed ring due to Dickmann, and give a new proof of this result, based upon ideas of Abraham Robinson. In addition we isolate the class of convexly ordered valuation rings for which this characterisati