J4 ›› 2008, Vol. 43 ›› Issue (12): 5-9.

• Articles • Previous Articles     Next Articles

Viscosity solutions of multidimensional quasilinear parabolic PDEs

 HUANG Zong-Yuan, ZHANG Feng   

  1. School of Mathematics and System Science, Shandong University, Jinan 250100, Shandong, China
  • Received:2008-09-27 Online:2008-12-16 Published:2009-11-09

Abstract:

It was proved with two different methods, that a function expressed in terms of the solution of a multidimensionalbackward stochastic equation is indeed a unique viscosity solutionof a certain qusilinear parabolic partial differential equation.

Key words: backward stochastic differential equation; partialdifferential equation; viscosity solution; comparison theorem

CLC Number: 

  • O211.63
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