Polynomial solutions of partial differential equations
نویسندگان
چکیده
منابع مشابه
Topological soliton solutions of the some nonlinear partial differential equations
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Let Dx, ... , Dr e C[d/dxx, ... , d/dxn) be constant coefficient differential operators with zero constant term. Let S = {fe C[xx,... , x„]\Dj(f) = 0 for all 1 < j < r) be the space of polynomial solutions to the system of simultaneous differential equations Dj(f) = 0. It is proved that S is a module over 3¡(V), the ring of differential operators on the affine scheme V with coordinate ring C[d/...
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ژورنال
عنوان ژورنال: Methods and Applications of Analysis
سال: 1999
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.1999.v6.n1.a7