On the Solutions of Linear Non-Homogeneous Partial Differential Equations
β Scribed by L. L. Steimley
- Book ID
- 124029740
- Publisher
- John Hopkins University Press
- Year
- 1915
- Tongue
- English
- Weight
- 758 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0002-9327
- DOI
- 10.2307/2370212
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π SIMILAR VOLUMES
Periodic solutions of arbitrary period to semilinear partial differential equations of Zabusky or Boussinesq type are obtained. More generally, for a linear differential operator A ( y , a ) , the equation A ( y , a)u = ( -l)lYlas,f(y, Pu), y = (t, x) E Rk x G is studied, where homogeneous boundary
The vector field formulation of and the Sato-Segal-Wilson approach to soliton equations are related to each other in this paper. From Banach Lie groups associated with the MKdV hierarchy of differential equations, we derive homogeneous Banach manifolds of solutions on which these equations are reali