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Mean value properties of solutions of linear partial differential equations

✍ Scribed by V. Z. Meshkov; I. P. Polovinkin


Publisher
Springer US
Year
2009
Tongue
English
Weight
147 KB
Volume
160
Category
Article
ISSN
1573-8795

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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