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
A note on non-separable solutions of linear partial differential equations
β Scribed by Aloknath Chakrabarti
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 263 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract In this paper, we prove a trace regularity theorem for the solutions of general linear partial differential equations with smooth coefficients. Our result shows that by imposing additional microlocal smoothness along certain directions, the trace of the solution on a codimensionβone hyp
Dekker, New York), we showed that if a function f (x) meromorphic in all C p is a solution of a homogeneous linear differential equation (E) with coefficients in Q (x), then f # C p (x). Here we show that this conclusion is false in the case where (E) is with coefficients not in Q (x). ## 2001 Acad