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Superdiffusions and positive solutions of non-linear partial differential equations

✍ Scribed by Dynkin, E B


Book ID
127374036
Publisher
Turpion Limited
Year
2004
Tongue
English
Weight
212 KB
Volume
59
Category
Article
ISSN
0036-0279

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πŸ“œ SIMILAR VOLUMES


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A superdiffusion is a measure-valued branching process associated with a nonlinear operator Lu& (u) where L is a second order elliptic differential operator and is a function from R d \_R + to R + . In the case L1 0 (the so-called subcritical case), the expectation of the total mass does not increas

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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