Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (3)
- Authors
- Leinartas, Evgeny K.; Yakovleva, Tatiana I.
- Contact information
- Leinartas, Evgeny K.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Yakovleva, Tatiana I.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- differential operator; H¨ormander’s problem; difference equations; multiple Laurent series
- Abstract
We define a derivation of the ring of Laurent series with supports in rational cones and prove existence and uniqueness of a solution to an analog of one initial-boundary value problem of H¨ormander for polynomial differential operators with constant coefficients in the class of formal Laurent series
- Pages
- 278–285
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/71602
Journal of Siberian Federal University. Mathematics & Physics / On Formal Solutions of H¨ormander’s Initial-boundary Value Problem in the Class of Laurent Series
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