Science in China Series A: Mathematics

, Volume 42, Issue 4, pp 347–356 | Cite as

Some problems on super-diffusions and one class of nonlinear differential equations

  • Wang Yongjin 
  • Ren Yanxia 


The historical superprocesses are considered on bounded regular domains with a complete branching form, as a probabilistic argument, the limit property of superprocesses is studied when the domains enlarge to the whole space. As an important application of superprocess, the representation of solutions of involved differential equations is used in term of historical superprocesses. The differential equations including the existence of nonnegative solution, the closeness of solutions and probabilistic representations to the maximal and minimal solutions are discussed, which helps develop the well-known results on nonlinear differential equations.


diffusion process historical superprocess nonlinear differential equation comparison principle conditioned superprocess 


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Copyright information

© Science in China Press 1999

Authors and Affiliations

  • Wang Yongjin 
    • 1
  • Ren Yanxia 
    • 2
  1. 1.Department of MathematicsNankai UniversityTianjinChina
  2. 2.Centre for Advanced StudyTsinghua UniversityBeijingChina

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