On the Generalized Nonlinear Diamond Heat Kernel

نویسندگان

  • Wanchak Satsanit
  • W. Satsanit
چکیده

In this paper, we study the nonlinear heat equation ∂ ∂t △u(x, t) − c♦u(x, t) = f(x, t, u(x, t)), where△k is the Laplacian operator iterated k− times and is defined by (1.4)and ♦k is the Diamond operator iterated k− times and is defined by (1.2). We obtain an interesting kernel related to the nonlinear heat equation.

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تاریخ انتشار 2014